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Finding the Fourth Proportional to 2,465.54, 3,402 and 1,520.57

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Solution

The fourth proportional to 2,465.54, 3,402 and 1,520.57 is: 2,098.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.54 : 3,402 = 1,520.57 : x
  2. Step 2: Convert to fraction form
    2,465.54/3,402 = 1,520.57/x
  3. Step 3: Cross multiply
    2,465.54x = 3,402 × 1,520.57
  4. Step 4: Simplify right side
    2,465.54x = 5,172,987.65
  5. Step 5: Solve for x
    x = 5,172,987.65/2,465.54
  6. Step 6: Final answer
    x = 2,098.12

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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.