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Finding the Fourth Proportional to 1,666.50, 2,497.11 and 1,116.66

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Solution

The fourth proportional to 1,666.50, 2,497.11 and 1,116.66 is: 1,673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.50 : 2,497.11 = 1,116.66 : x
  2. Step 2: Convert to fraction form
    1,666.50/2,497.11 = 1,116.66/x
  3. Step 3: Cross multiply
    1,666.50x = 2,497.11 × 1,116.66
  4. Step 4: Simplify right side
    1,666.50x = 2,788,422.85
  5. Step 5: Solve for x
    x = 2,788,422.85/1,666.50
  6. Step 6: Final answer
    x = 1,673.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.