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Finding the Fourth Proportional to 1,666.16, 2,497.84 and 1,437.76

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Solution

The fourth proportional to 1,666.16, 2,497.84 and 1,437.76 is: 2,155.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.16 : 2,497.84 = 1,437.76 : x
  2. Step 2: Convert to fraction form
    1,666.16/2,497.84 = 1,437.76/x
  3. Step 3: Cross multiply
    1,666.16x = 2,497.84 × 1,437.76
  4. Step 4: Simplify right side
    1,666.16x = 3,591,294.44
  5. Step 5: Solve for x
    x = 3,591,294.44/1,666.16
  6. Step 6: Final answer
    x = 2,155.43

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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.