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Finding the Fourth Proportional to 2,516.54, 3,473 and 1,521.86

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Solution

The fourth proportional to 2,516.54, 3,473 and 1,521.86 is: 2,100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.54 : 3,473 = 1,521.86 : x
  2. Step 2: Convert to fraction form
    2,516.54/3,473 = 1,521.86/x
  3. Step 3: Cross multiply
    2,516.54x = 3,473 × 1,521.86
  4. Step 4: Simplify right side
    2,516.54x = 5,285,419.78
  5. Step 5: Solve for x
    x = 5,285,419.78/2,516.54
  6. Step 6: Final answer
    x = 2,100.27

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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.