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Finding the Fourth Proportional to 3,031, 4,544.27 and 1,156.57

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Solution

The fourth proportional to 3,031, 4,544.27 and 1,156.57 is: 1,734.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031 : 4,544.27 = 1,156.57 : x
  2. Step 2: Convert to fraction form
    3,031/4,544.27 = 1,156.57/x
  3. Step 3: Cross multiply
    3,031x = 4,544.27 × 1,156.57
  4. Step 4: Simplify right side
    3,031x = 5,255,766.35
  5. Step 5: Solve for x
    x = 5,255,766.35/3,031
  6. Step 6: Final answer
    x = 1,734.00

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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.