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Finding the Fourth Proportional to 2,357.12, 3,534.96 and 1,123.88

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Solution

The fourth proportional to 2,357.12, 3,534.96 and 1,123.88 is: 1,685.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.12 : 3,534.96 = 1,123.88 : x
  2. Step 2: Convert to fraction form
    2,357.12/3,534.96 = 1,123.88/x
  3. Step 3: Cross multiply
    2,357.12x = 3,534.96 × 1,123.88
  4. Step 4: Simplify right side
    2,357.12x = 3,972,870.84
  5. Step 5: Solve for x
    x = 3,972,870.84/2,357.12
  6. Step 6: Final answer
    x = 1,685.48

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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.