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Finding the Fourth Proportional to 1,901.98, 2,854.59 and 748.54

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Solution

The fourth proportional to 1,901.98, 2,854.59 and 748.54 is: 1,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.98 : 2,854.59 = 748.54 : x
  2. Step 2: Convert to fraction form
    1,901.98/2,854.59 = 748.54/x
  3. Step 3: Cross multiply
    1,901.98x = 2,854.59 × 748.54
  4. Step 4: Simplify right side
    1,901.98x = 2,136,774.80
  5. Step 5: Solve for x
    x = 2,136,774.80/1,901.98
  6. Step 6: Final answer
    x = 1,123.45

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