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Finding the Fourth Proportional to 2,045.92, 2,825.18 and 1,521.04

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Solution

The fourth proportional to 2,045.92, 2,825.18 and 1,521.04 is: 2,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.92 : 2,825.18 = 1,521.04 : x
  2. Step 2: Convert to fraction form
    2,045.92/2,825.18 = 1,521.04/x
  3. Step 3: Cross multiply
    2,045.92x = 2,825.18 × 1,521.04
  4. Step 4: Simplify right side
    2,045.92x = 4,297,211.79
  5. Step 5: Solve for x
    x = 4,297,211.79/2,045.92
  6. Step 6: Final answer
    x = 2,100.38

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.