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Finding the Fourth Proportional to 3,053.06, 4,580.12 and 972.53

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Solution

The fourth proportional to 3,053.06, 4,580.12 and 972.53 is: 1,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.06 : 4,580.12 = 972.53 : x
  2. Step 2: Convert to fraction form
    3,053.06/4,580.12 = 972.53/x
  3. Step 3: Cross multiply
    3,053.06x = 4,580.12 × 972.53
  4. Step 4: Simplify right side
    3,053.06x = 4,454,304.10
  5. Step 5: Solve for x
    x = 4,454,304.10/3,053.06
  6. Step 6: Final answer
    x = 1,458.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.