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Finding the Fourth Proportional to 1,666.54, 2,498.01 and 1,342.18

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Solution

The fourth proportional to 1,666.54, 2,498.01 and 1,342.18 is: 2,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.54 : 2,498.01 = 1,342.18 : x
  2. Step 2: Convert to fraction form
    1,666.54/2,498.01 = 1,342.18/x
  3. Step 3: Cross multiply
    1,666.54x = 2,498.01 × 1,342.18
  4. Step 4: Simplify right side
    1,666.54x = 3,352,779.06
  5. Step 5: Solve for x
    x = 3,352,779.06/1,666.54
  6. Step 6: Final answer
    x = 2,011.82

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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.