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Finding the Fourth Proportional to 1,432.04, 2,147.94 and 972.77

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Solution

The fourth proportional to 1,432.04, 2,147.94 and 972.77 is: 1,459.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.04 : 2,147.94 = 972.77 : x
  2. Step 2: Convert to fraction form
    1,432.04/2,147.94 = 972.77/x
  3. Step 3: Cross multiply
    1,432.04x = 2,147.94 × 972.77
  4. Step 4: Simplify right side
    1,432.04x = 2,089,451.59
  5. Step 5: Solve for x
    x = 2,089,451.59/1,432.04
  6. Step 6: Final answer
    x = 1,459.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.