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Finding the Fourth Proportional to 1,741.18, 2,612.74 and 645.76

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Solution

The fourth proportional to 1,741.18, 2,612.74 and 645.76 is: 969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.18 : 2,612.74 = 645.76 : x
  2. Step 2: Convert to fraction form
    1,741.18/2,612.74 = 645.76/x
  3. Step 3: Cross multiply
    1,741.18x = 2,612.74 × 645.76
  4. Step 4: Simplify right side
    1,741.18x = 1,687,202.98
  5. Step 5: Solve for x
    x = 1,687,202.98/1,741.18
  6. Step 6: Final answer
    x = 969.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.