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Finding the Fourth Proportional to 2,188.52, 3,020.80 and 1,304.94

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Solution

The fourth proportional to 2,188.52, 3,020.80 and 1,304.94 is: 1,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.52 : 3,020.80 = 1,304.94 : x
  2. Step 2: Convert to fraction form
    2,188.52/3,020.80 = 1,304.94/x
  3. Step 3: Cross multiply
    2,188.52x = 3,020.80 × 1,304.94
  4. Step 4: Simplify right side
    2,188.52x = 3,941,962.75
  5. Step 5: Solve for x
    x = 3,941,962.75/2,188.52
  6. Step 6: Final answer
    x = 1,801.20

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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.