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Finding the Fourth Proportional to 2,898.47, 4,347.70 and 818.47

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Solution

The fourth proportional to 2,898.47, 4,347.70 and 818.47 is: 1,227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.47 : 4,347.70 = 818.47 : x
  2. Step 2: Convert to fraction form
    2,898.47/4,347.70 = 818.47/x
  3. Step 3: Cross multiply
    2,898.47x = 4,347.70 × 818.47
  4. Step 4: Simplify right side
    2,898.47x = 3,558,462.02
  5. Step 5: Solve for x
    x = 3,558,462.02/2,898.47
  6. Step 6: Final answer
    x = 1,227.70

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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.