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Finding the Fourth Proportional to 1,648.58, 2,275.85 and 1,060.12

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Solution

The fourth proportional to 1,648.58, 2,275.85 and 1,060.12 is: 1,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.58 : 2,275.85 = 1,060.12 : x
  2. Step 2: Convert to fraction form
    1,648.58/2,275.85 = 1,060.12/x
  3. Step 3: Cross multiply
    1,648.58x = 2,275.85 × 1,060.12
  4. Step 4: Simplify right side
    1,648.58x = 2,412,663.11
  5. Step 5: Solve for x
    x = 2,412,663.11/1,648.58
  6. Step 6: Final answer
    x = 1,463.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.