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Finding the Fourth Proportional to 1,391.22, 2,077.07 and 1,148.22

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Solution

The fourth proportional to 1,391.22, 2,077.07 and 1,148.22 is: 1,714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.22 : 2,077.07 = 1,148.22 : x
  2. Step 2: Convert to fraction form
    1,391.22/2,077.07 = 1,148.22/x
  3. Step 3: Cross multiply
    1,391.22x = 2,077.07 × 1,148.22
  4. Step 4: Simplify right side
    1,391.22x = 2,384,927.57
  5. Step 5: Solve for x
    x = 2,384,927.57/1,391.22
  6. Step 6: Final answer
    x = 1,714.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.