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Finding the Fourth Proportional to 1,432.71, 1,984.80 and 1,398.69

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Solution

The fourth proportional to 1,432.71, 1,984.80 and 1,398.69 is: 1,937.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.71 : 1,984.80 = 1,398.69 : x
  2. Step 2: Convert to fraction form
    1,432.71/1,984.80 = 1,398.69/x
  3. Step 3: Cross multiply
    1,432.71x = 1,984.80 × 1,398.69
  4. Step 4: Simplify right side
    1,432.71x = 2,776,119.91
  5. Step 5: Solve for x
    x = 2,776,119.91/1,432.71
  6. Step 6: Final answer
    x = 1,937.67

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.