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Finding the Fourth Proportional to 2,648.63, 3,642.14 and 2,298.71

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Solution

The fourth proportional to 2,648.63, 3,642.14 and 2,298.71 is: 3,160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.63 : 3,642.14 = 2,298.71 : x
  2. Step 2: Convert to fraction form
    2,648.63/3,642.14 = 2,298.71/x
  3. Step 3: Cross multiply
    2,648.63x = 3,642.14 × 2,298.71
  4. Step 4: Simplify right side
    2,648.63x = 8,372,211.18
  5. Step 5: Solve for x
    x = 8,372,211.18/2,648.63
  6. Step 6: Final answer
    x = 3,160.97

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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.