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Finding the Fourth Proportional to 1,748.10, 2,622.53 and 578.46

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Solution

The fourth proportional to 1,748.10, 2,622.53 and 578.46 is: 867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.10 : 2,622.53 = 578.46 : x
  2. Step 2: Convert to fraction form
    1,748.10/2,622.53 = 578.46/x
  3. Step 3: Cross multiply
    1,748.10x = 2,622.53 × 578.46
  4. Step 4: Simplify right side
    1,748.10x = 1,517,028.70
  5. Step 5: Solve for x
    x = 1,517,028.70/1,748.10
  6. Step 6: Final answer
    x = 867.82

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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.