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Finding the Fourth Proportional to 2,188.59, 3,020.75 and 1,304.88

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Solution

The fourth proportional to 2,188.59, 3,020.75 and 1,304.88 is: 1,801.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.59 : 3,020.75 = 1,304.88 : x
  2. Step 2: Convert to fraction form
    2,188.59/3,020.75 = 1,304.88/x
  3. Step 3: Cross multiply
    2,188.59x = 3,020.75 × 1,304.88
  4. Step 4: Simplify right side
    2,188.59x = 3,941,709.74
  5. Step 5: Solve for x
    x = 3,941,709.74/2,188.59
  6. Step 6: Final answer
    x = 1,801.03

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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.