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Finding the Fourth Proportional to 2,291.72, 3,162.64 and 1,408.04

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Solution

The fourth proportional to 2,291.72, 3,162.64 and 1,408.04 is: 1,943.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.72 : 3,162.64 = 1,408.04 : x
  2. Step 2: Convert to fraction form
    2,291.72/3,162.64 = 1,408.04/x
  3. Step 3: Cross multiply
    2,291.72x = 3,162.64 × 1,408.04
  4. Step 4: Simplify right side
    2,291.72x = 4,453,123.63
  5. Step 5: Solve for x
    x = 4,453,123.63/2,291.72
  6. Step 6: Final answer
    x = 1,943.14

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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.