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Finding the Fourth Proportional to 2,352.04, 3,521.01 and 1,424.77

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Solution

The fourth proportional to 2,352.04, 3,521.01 and 1,424.77 is: 2,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.04 : 3,521.01 = 1,424.77 : x
  2. Step 2: Convert to fraction form
    2,352.04/3,521.01 = 1,424.77/x
  3. Step 3: Cross multiply
    2,352.04x = 3,521.01 × 1,424.77
  4. Step 4: Simplify right side
    2,352.04x = 5,016,629.42
  5. Step 5: Solve for x
    x = 5,016,629.42/2,352.04
  6. Step 6: Final answer
    x = 2,132.88

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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.