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Finding the Fourth Proportional to 3,132.66, 4,697.43 and 1,283.28

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Solution

The fourth proportional to 3,132.66, 4,697.43 and 1,283.28 is: 1,924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.66 : 4,697.43 = 1,283.28 : x
  2. Step 2: Convert to fraction form
    3,132.66/4,697.43 = 1,283.28/x
  3. Step 3: Cross multiply
    3,132.66x = 4,697.43 × 1,283.28
  4. Step 4: Simplify right side
    3,132.66x = 6,028,117.97
  5. Step 5: Solve for x
    x = 6,028,117.97/3,132.66
  6. Step 6: Final answer
    x = 1,924.28

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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.