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Finding the Fourth Proportional to 2,402.76, 3,315.63 and 1,565.07

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Solution

The fourth proportional to 2,402.76, 3,315.63 and 1,565.07 is: 2,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.76 : 3,315.63 = 1,565.07 : x
  2. Step 2: Convert to fraction form
    2,402.76/3,315.63 = 1,565.07/x
  3. Step 3: Cross multiply
    2,402.76x = 3,315.63 × 1,565.07
  4. Step 4: Simplify right side
    2,402.76x = 5,189,205.13
  5. Step 5: Solve for x
    x = 5,189,205.13/2,402.76
  6. Step 6: Final answer
    x = 2,159.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.