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Finding the Fourth Proportional to 2,347.95, 3,521.52 and 1,429.41

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Solution

The fourth proportional to 2,347.95, 3,521.52 and 1,429.41 is: 2,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.95 : 3,521.52 = 1,429.41 : x
  2. Step 2: Convert to fraction form
    2,347.95/3,521.52 = 1,429.41/x
  3. Step 3: Cross multiply
    2,347.95x = 3,521.52 × 1,429.41
  4. Step 4: Simplify right side
    2,347.95x = 5,033,695.90
  5. Step 5: Solve for x
    x = 5,033,695.90/2,347.95
  6. Step 6: Final answer
    x = 2,143.87

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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.