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Finding the Fourth Proportional to 1,432.90, 1,975.96 and 1,319.91

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Solution

The fourth proportional to 1,432.90, 1,975.96 and 1,319.91 is: 1,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.90 : 1,975.96 = 1,319.91 : x
  2. Step 2: Convert to fraction form
    1,432.90/1,975.96 = 1,319.91/x
  3. Step 3: Cross multiply
    1,432.90x = 1,975.96 × 1,319.91
  4. Step 4: Simplify right side
    1,432.90x = 2,608,083.60
  5. Step 5: Solve for x
    x = 2,608,083.60/1,432.90
  6. Step 6: Final answer
    x = 1,820.14

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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.