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Finding the Fourth Proportional to 1,538.87, 2,123.82 and 1,041.53

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Solution

The fourth proportional to 1,538.87, 2,123.82 and 1,041.53 is: 1,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.87 : 2,123.82 = 1,041.53 : x
  2. Step 2: Convert to fraction form
    1,538.87/2,123.82 = 1,041.53/x
  3. Step 3: Cross multiply
    1,538.87x = 2,123.82 × 1,041.53
  4. Step 4: Simplify right side
    1,538.87x = 2,212,011.63
  5. Step 5: Solve for x
    x = 2,212,011.63/1,538.87
  6. Step 6: Final answer
    x = 1,437.43

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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.