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Finding the Fourth Proportional to 2,429.71, 3,648.21 and 1,390.88

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Solution

The fourth proportional to 2,429.71, 3,648.21 and 1,390.88 is: 2,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.71 : 3,648.21 = 1,390.88 : x
  2. Step 2: Convert to fraction form
    2,429.71/3,648.21 = 1,390.88/x
  3. Step 3: Cross multiply
    2,429.71x = 3,648.21 × 1,390.88
  4. Step 4: Simplify right side
    2,429.71x = 5,074,226.23
  5. Step 5: Solve for x
    x = 5,074,226.23/2,429.71
  6. Step 6: Final answer
    x = 2,088.41

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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.