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Finding the Fourth Proportional to 1,748.31, 2,621.98 and 515.40

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Solution

The fourth proportional to 1,748.31, 2,621.98 and 515.40 is: 772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.31 : 2,621.98 = 515.40 : x
  2. Step 2: Convert to fraction form
    1,748.31/2,621.98 = 515.40/x
  3. Step 3: Cross multiply
    1,748.31x = 2,621.98 × 515.40
  4. Step 4: Simplify right side
    1,748.31x = 1,351,368.49
  5. Step 5: Solve for x
    x = 1,351,368.49/1,748.31
  6. Step 6: Final answer
    x = 772.96

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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.