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Finding the Fourth Proportional to 2,528, 3,489.28 and 1,424.64

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Solution

The fourth proportional to 2,528, 3,489.28 and 1,424.64 is: 1,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528 : 3,489.28 = 1,424.64 : x
  2. Step 2: Convert to fraction form
    2,528/3,489.28 = 1,424.64/x
  3. Step 3: Cross multiply
    2,528x = 3,489.28 × 1,424.64
  4. Step 4: Simplify right side
    2,528x = 4,970,967.86
  5. Step 5: Solve for x
    x = 4,970,967.86/2,528
  6. Step 6: Final answer
    x = 1,966.36

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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.