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Finding the Fourth Proportional to 3,103.85, 4,656 and 1,156.07

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Solution

The fourth proportional to 3,103.85, 4,656 and 1,156.07 is: 1,734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.85 : 4,656 = 1,156.07 : x
  2. Step 2: Convert to fraction form
    3,103.85/4,656 = 1,156.07/x
  3. Step 3: Cross multiply
    3,103.85x = 4,656 × 1,156.07
  4. Step 4: Simplify right side
    3,103.85x = 5,382,661.92
  5. Step 5: Solve for x
    x = 5,382,661.92/3,103.85
  6. Step 6: Final answer
    x = 1,734.19

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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.