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Finding the Fourth Proportional to 3,143.57, 4,335.70 and 2,303.96

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Solution

The fourth proportional to 3,143.57, 4,335.70 and 2,303.96 is: 3,177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.57 : 4,335.70 = 2,303.96 : x
  2. Step 2: Convert to fraction form
    3,143.57/4,335.70 = 2,303.96/x
  3. Step 3: Cross multiply
    3,143.57x = 4,335.70 × 2,303.96
  4. Step 4: Simplify right side
    3,143.57x = 9,989,267.85
  5. Step 5: Solve for x
    x = 9,989,267.85/3,143.57
  6. Step 6: Final answer
    x = 3,177.68

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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.