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Finding the Fourth Proportional to 1,748.17, 2,622.37 and 578.12

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Solution

The fourth proportional to 1,748.17, 2,622.37 and 578.12 is: 867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.17 : 2,622.37 = 578.12 : x
  2. Step 2: Convert to fraction form
    1,748.17/2,622.37 = 578.12/x
  3. Step 3: Cross multiply
    1,748.17x = 2,622.37 × 578.12
  4. Step 4: Simplify right side
    1,748.17x = 1,516,044.54
  5. Step 5: Solve for x
    x = 1,516,044.54/1,748.17
  6. Step 6: Final answer
    x = 867.22

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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.