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Finding the Fourth Proportional to 2,565.55, 3,542.03 and 1,670.14

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Solution

The fourth proportional to 2,565.55, 3,542.03 and 1,670.14 is: 2,305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.55 : 3,542.03 = 1,670.14 : x
  2. Step 2: Convert to fraction form
    2,565.55/3,542.03 = 1,670.14/x
  3. Step 3: Cross multiply
    2,565.55x = 3,542.03 × 1,670.14
  4. Step 4: Simplify right side
    2,565.55x = 5,915,685.98
  5. Step 5: Solve for x
    x = 5,915,685.98/2,565.55
  6. Step 6: Final answer
    x = 2,305.82

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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.