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Finding the Fourth Proportional to 2,666.48, 3,675.32 and 1,781.96

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Solution

The fourth proportional to 2,666.48, 3,675.32 and 1,781.96 is: 2,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.48 : 3,675.32 = 1,781.96 : x
  2. Step 2: Convert to fraction form
    2,666.48/3,675.32 = 1,781.96/x
  3. Step 3: Cross multiply
    2,666.48x = 3,675.32 × 1,781.96
  4. Step 4: Simplify right side
    2,666.48x = 6,549,245.94
  5. Step 5: Solve for x
    x = 6,549,245.94/2,666.48
  6. Step 6: Final answer
    x = 2,456.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.