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Finding the Fourth Proportional to 1,432.84, 2,148.90 and 1,047.38

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Solution

The fourth proportional to 1,432.84, 2,148.90 and 1,047.38 is: 1,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.84 : 2,148.90 = 1,047.38 : x
  2. Step 2: Convert to fraction form
    1,432.84/2,148.90 = 1,047.38/x
  3. Step 3: Cross multiply
    1,432.84x = 2,148.90 × 1,047.38
  4. Step 4: Simplify right side
    1,432.84x = 2,250,714.88
  5. Step 5: Solve for x
    x = 2,250,714.88/1,432.84
  6. Step 6: Final answer
    x = 1,570.81

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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.