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Finding the Fourth Proportional to 2,659.68, 3,673.65 and 1,877.22

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Solution

The fourth proportional to 2,659.68, 3,673.65 and 1,877.22 is: 2,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.68 : 3,673.65 = 1,877.22 : x
  2. Step 2: Convert to fraction form
    2,659.68/3,673.65 = 1,877.22/x
  3. Step 3: Cross multiply
    2,659.68x = 3,673.65 × 1,877.22
  4. Step 4: Simplify right side
    2,659.68x = 6,896,249.25
  5. Step 5: Solve for x
    x = 6,896,249.25/2,659.68
  6. Step 6: Final answer
    x = 2,592.89

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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.