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Finding the Fourth Proportional to 3,053.31, 4,580.30 and 972.58

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Solution

The fourth proportional to 3,053.31, 4,580.30 and 972.58 is: 1,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.31 : 4,580.30 = 972.58 : x
  2. Step 2: Convert to fraction form
    3,053.31/4,580.30 = 972.58/x
  3. Step 3: Cross multiply
    3,053.31x = 4,580.30 × 972.58
  4. Step 4: Simplify right side
    3,053.31x = 4,454,708.17
  5. Step 5: Solve for x
    x = 4,454,708.17/3,053.31
  6. Step 6: Final answer
    x = 1,458.98

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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.