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Finding the Fourth Proportional to 2,666.03, 3,677.19 and 1,780.29

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Solution

The fourth proportional to 2,666.03, 3,677.19 and 1,780.29 is: 2,455.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.03 : 3,677.19 = 1,780.29 : x
  2. Step 2: Convert to fraction form
    2,666.03/3,677.19 = 1,780.29/x
  3. Step 3: Cross multiply
    2,666.03x = 3,677.19 × 1,780.29
  4. Step 4: Simplify right side
    2,666.03x = 6,546,464.59
  5. Step 5: Solve for x
    x = 6,546,464.59/2,666.03
  6. Step 6: Final answer
    x = 2,455.52

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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.