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Finding the Fourth Proportional to 2,061.62, 2,842.90 and 1,432.86

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Solution

The fourth proportional to 2,061.62, 2,842.90 and 1,432.86 is: 1,975.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.62 : 2,842.90 = 1,432.86 : x
  2. Step 2: Convert to fraction form
    2,061.62/2,842.90 = 1,432.86/x
  3. Step 3: Cross multiply
    2,061.62x = 2,842.90 × 1,432.86
  4. Step 4: Simplify right side
    2,061.62x = 4,073,477.69
  5. Step 5: Solve for x
    x = 4,073,477.69/2,061.62
  6. Step 6: Final answer
    x = 1,975.86

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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.