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Finding the Fourth Proportional to 2,045.04, 3,068.88 and 746.40

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Solution

The fourth proportional to 2,045.04, 3,068.88 and 746.40 is: 1,120.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.04 : 3,068.88 = 746.40 : x
  2. Step 2: Convert to fraction form
    2,045.04/3,068.88 = 746.40/x
  3. Step 3: Cross multiply
    2,045.04x = 3,068.88 × 746.40
  4. Step 4: Simplify right side
    2,045.04x = 2,290,612.03
  5. Step 5: Solve for x
    x = 2,290,612.03/2,045.04
  6. Step 6: Final answer
    x = 1,120.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.