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Finding the Fourth Proportional to 1,665.66, 2,497.47 and 1,471.10

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Solution

The fourth proportional to 1,665.66, 2,497.47 and 1,471.10 is: 2,205.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.66 : 2,497.47 = 1,471.10 : x
  2. Step 2: Convert to fraction form
    1,665.66/2,497.47 = 1,471.10/x
  3. Step 3: Cross multiply
    1,665.66x = 2,497.47 × 1,471.10
  4. Step 4: Simplify right side
    1,665.66x = 3,674,010.11
  5. Step 5: Solve for x
    x = 3,674,010.11/1,665.66
  6. Step 6: Final answer
    x = 2,205.73

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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.