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Finding the Fourth Proportional to 2,359.53, 3,538.62 and 1,124.46

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Solution

The fourth proportional to 2,359.53, 3,538.62 and 1,124.46 is: 1,686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.53 : 3,538.62 = 1,124.46 : x
  2. Step 2: Convert to fraction form
    2,359.53/3,538.62 = 1,124.46/x
  3. Step 3: Cross multiply
    2,359.53x = 3,538.62 × 1,124.46
  4. Step 4: Simplify right side
    2,359.53x = 3,979,036.65
  5. Step 5: Solve for x
    x = 3,979,036.65/2,359.53
  6. Step 6: Final answer
    x = 1,686.37

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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.