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Finding the Fourth Proportional to 1,765.85, 2,431.31 and 1,499.72

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Solution

The fourth proportional to 1,765.85, 2,431.31 and 1,499.72 is: 2,064.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.85 : 2,431.31 = 1,499.72 : x
  2. Step 2: Convert to fraction form
    1,765.85/2,431.31 = 1,499.72/x
  3. Step 3: Cross multiply
    1,765.85x = 2,431.31 × 1,499.72
  4. Step 4: Simplify right side
    1,765.85x = 3,646,264.58
  5. Step 5: Solve for x
    x = 3,646,264.58/1,765.85
  6. Step 6: Final answer
    x = 2,064.88

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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.