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Finding the Fourth Proportional to 2,302.77, 3,454.35 and 1,005.15

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Solution

The fourth proportional to 2,302.77, 3,454.35 and 1,005.15 is: 1,507.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.77 : 3,454.35 = 1,005.15 : x
  2. Step 2: Convert to fraction form
    2,302.77/3,454.35 = 1,005.15/x
  3. Step 3: Cross multiply
    2,302.77x = 3,454.35 × 1,005.15
  4. Step 4: Simplify right side
    2,302.77x = 3,472,139.90
  5. Step 5: Solve for x
    x = 3,472,139.90/2,302.77
  6. Step 6: Final answer
    x = 1,507.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.