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Finding the Fourth Proportional to 1,648.32, 2,275.20 and 1,059.84

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Solution

The fourth proportional to 1,648.32, 2,275.20 and 1,059.84 is: 1,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.32 : 2,275.20 = 1,059.84 : x
  2. Step 2: Convert to fraction form
    1,648.32/2,275.20 = 1,059.84/x
  3. Step 3: Cross multiply
    1,648.32x = 2,275.20 × 1,059.84
  4. Step 4: Simplify right side
    1,648.32x = 2,411,347.97
  5. Step 5: Solve for x
    x = 2,411,347.97/1,648.32
  6. Step 6: Final answer
    x = 1,462.91

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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.