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Finding the Fourth Proportional to 1,602.39, 2,389.74 and 1,565.13

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Solution

The fourth proportional to 1,602.39, 2,389.74 and 1,565.13 is: 2,334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.39 : 2,389.74 = 1,565.13 : x
  2. Step 2: Convert to fraction form
    1,602.39/2,389.74 = 1,565.13/x
  3. Step 3: Cross multiply
    1,602.39x = 2,389.74 × 1,565.13
  4. Step 4: Simplify right side
    1,602.39x = 3,740,253.77
  5. Step 5: Solve for x
    x = 3,740,253.77/1,602.39
  6. Step 6: Final answer
    x = 2,334.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.