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Finding the Fourth Proportional to 2,377.54, 3,281.96 and 1,569.88

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Solution

The fourth proportional to 2,377.54, 3,281.96 and 1,569.88 is: 2,167.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.54 : 3,281.96 = 1,569.88 : x
  2. Step 2: Convert to fraction form
    2,377.54/3,281.96 = 1,569.88/x
  3. Step 3: Cross multiply
    2,377.54x = 3,281.96 × 1,569.88
  4. Step 4: Simplify right side
    2,377.54x = 5,152,283.36
  5. Step 5: Solve for x
    x = 5,152,283.36/2,377.54
  6. Step 6: Final answer
    x = 2,167.06

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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.