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Finding the Fourth Proportional to 2,898.61, 4,348.17 and 818.63

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Solution

The fourth proportional to 2,898.61, 4,348.17 and 818.63 is: 1,228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.61 : 4,348.17 = 818.63 : x
  2. Step 2: Convert to fraction form
    2,898.61/4,348.17 = 818.63/x
  3. Step 3: Cross multiply
    2,898.61x = 4,348.17 × 818.63
  4. Step 4: Simplify right side
    2,898.61x = 3,559,542.41
  5. Step 5: Solve for x
    x = 3,559,542.41/2,898.61
  6. Step 6: Final answer
    x = 1,228.02

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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.