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Finding the Fourth Proportional to 4,411.65, 6,616.14 and 1,778.31

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Solution

The fourth proportional to 4,411.65, 6,616.14 and 1,778.31 is: 2,666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,411.65 : 6,616.14 = 1,778.31 : x
  2. Step 2: Convert to fraction form
    4,411.65/6,616.14 = 1,778.31/x
  3. Step 3: Cross multiply
    4,411.65x = 6,616.14 × 1,778.31
  4. Step 4: Simplify right side
    4,411.65x = 11,765,547.92
  5. Step 5: Solve for x
    x = 11,765,547.92/4,411.65
  6. Step 6: Final answer
    x = 2,666.93

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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.