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Finding the Fourth Proportional to 1,666.17, 2,498.04 and 1,437.75

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Solution

The fourth proportional to 1,666.17, 2,498.04 and 1,437.75 is: 2,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.17 : 2,498.04 = 1,437.75 : x
  2. Step 2: Convert to fraction form
    1,666.17/2,498.04 = 1,437.75/x
  3. Step 3: Cross multiply
    1,666.17x = 2,498.04 × 1,437.75
  4. Step 4: Simplify right side
    1,666.17x = 3,591,557.01
  5. Step 5: Solve for x
    x = 3,591,557.01/1,666.17
  6. Step 6: Final answer
    x = 2,155.58

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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.