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Finding the Fourth Proportional to 2,898.40, 4,348.78 and 1,049.71

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Solution

The fourth proportional to 2,898.40, 4,348.78 and 1,049.71 is: 1,574.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.40 : 4,348.78 = 1,049.71 : x
  2. Step 2: Convert to fraction form
    2,898.40/4,348.78 = 1,049.71/x
  3. Step 3: Cross multiply
    2,898.40x = 4,348.78 × 1,049.71
  4. Step 4: Simplify right side
    2,898.40x = 4,564,957.85
  5. Step 5: Solve for x
    x = 4,564,957.85/2,898.40
  6. Step 6: Final answer
    x = 1,574.99

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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.