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Finding the Fourth Proportional to 1,666.97, 2,497.52 and 1,485.98

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Solution

The fourth proportional to 1,666.97, 2,497.52 and 1,485.98 is: 2,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.97 : 2,497.52 = 1,485.98 : x
  2. Step 2: Convert to fraction form
    1,666.97/2,497.52 = 1,485.98/x
  3. Step 3: Cross multiply
    1,666.97x = 2,497.52 × 1,485.98
  4. Step 4: Simplify right side
    1,666.97x = 3,711,257.34
  5. Step 5: Solve for x
    x = 3,711,257.34/1,666.97
  6. Step 6: Final answer
    x = 2,226.35

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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.