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Finding the Fourth Proportional to 1,432.86, 1,977.23 and 1,060.08

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Solution

The fourth proportional to 1,432.86, 1,977.23 and 1,060.08 is: 1,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.86 : 1,977.23 = 1,060.08 : x
  2. Step 2: Convert to fraction form
    1,432.86/1,977.23 = 1,060.08/x
  3. Step 3: Cross multiply
    1,432.86x = 1,977.23 × 1,060.08
  4. Step 4: Simplify right side
    1,432.86x = 2,096,016.68
  5. Step 5: Solve for x
    x = 2,096,016.68/1,432.86
  6. Step 6: Final answer
    x = 1,462.82

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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.