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Finding the Fourth Proportional to 2,132.50, 2,942.88 and 1,304.50

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Solution

The fourth proportional to 2,132.50, 2,942.88 and 1,304.50 is: 1,800.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.50 : 2,942.88 = 1,304.50 : x
  2. Step 2: Convert to fraction form
    2,132.50/2,942.88 = 1,304.50/x
  3. Step 3: Cross multiply
    2,132.50x = 2,942.88 × 1,304.50
  4. Step 4: Simplify right side
    2,132.50x = 3,838,986.96
  5. Step 5: Solve for x
    x = 3,838,986.96/2,132.50
  6. Step 6: Final answer
    x = 1,800.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.