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Finding the Fourth Proportional to 2,547.84, 3,818.42 and 2,217.36

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Solution

The fourth proportional to 2,547.84, 3,818.42 and 2,217.36 is: 3,323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.84 : 3,818.42 = 2,217.36 : x
  2. Step 2: Convert to fraction form
    2,547.84/3,818.42 = 2,217.36/x
  3. Step 3: Cross multiply
    2,547.84x = 3,818.42 × 2,217.36
  4. Step 4: Simplify right side
    2,547.84x = 8,466,811.77
  5. Step 5: Solve for x
    x = 8,466,811.77/2,547.84
  6. Step 6: Final answer
    x = 3,323.13

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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.