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Finding the Fourth Proportional to 2,292.63, 3,165.76 and 1,454.82

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Solution

The fourth proportional to 2,292.63, 3,165.76 and 1,454.82 is: 2,008.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.63 : 3,165.76 = 1,454.82 : x
  2. Step 2: Convert to fraction form
    2,292.63/3,165.76 = 1,454.82/x
  3. Step 3: Cross multiply
    2,292.63x = 3,165.76 × 1,454.82
  4. Step 4: Simplify right side
    2,292.63x = 4,605,595.13
  5. Step 5: Solve for x
    x = 4,605,595.13/2,292.63
  6. Step 6: Final answer
    x = 2,008.87

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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.