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Finding the Fourth Proportional to 3,132.78, 4,699.47 and 1,052.80

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Solution

The fourth proportional to 3,132.78, 4,699.47 and 1,052.80 is: 1,579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.78 : 4,699.47 = 1,052.80 : x
  2. Step 2: Convert to fraction form
    3,132.78/4,699.47 = 1,052.80/x
  3. Step 3: Cross multiply
    3,132.78x = 4,699.47 × 1,052.80
  4. Step 4: Simplify right side
    3,132.78x = 4,947,602.02
  5. Step 5: Solve for x
    x = 4,947,602.02/3,132.78
  6. Step 6: Final answer
    x = 1,579.30

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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.