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Finding the Fourth Proportional to 2,538.47, 3,809.53 and 1,565.26

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Solution

The fourth proportional to 2,538.47, 3,809.53 and 1,565.26 is: 2,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.47 : 3,809.53 = 1,565.26 : x
  2. Step 2: Convert to fraction form
    2,538.47/3,809.53 = 1,565.26/x
  3. Step 3: Cross multiply
    2,538.47x = 3,809.53 × 1,565.26
  4. Step 4: Simplify right side
    2,538.47x = 5,962,897.36
  5. Step 5: Solve for x
    x = 5,962,897.36/2,538.47
  6. Step 6: Final answer
    x = 2,349.01

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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.