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Finding the Fourth Proportional to 2,677.67, 3,695.19 and 1,498.76

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Solution

The fourth proportional to 2,677.67, 3,695.19 and 1,498.76 is: 2,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.67 : 3,695.19 = 1,498.76 : x
  2. Step 2: Convert to fraction form
    2,677.67/3,695.19 = 1,498.76/x
  3. Step 3: Cross multiply
    2,677.67x = 3,695.19 × 1,498.76
  4. Step 4: Simplify right side
    2,677.67x = 5,538,202.96
  5. Step 5: Solve for x
    x = 5,538,202.96/2,677.67
  6. Step 6: Final answer
    x = 2,068.29

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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.