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Finding the Fourth Proportional to 3,117.97, 4,303.10 and 2,330.65

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Solution

The fourth proportional to 3,117.97, 4,303.10 and 2,330.65 is: 3,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.97 : 4,303.10 = 2,330.65 : x
  2. Step 2: Convert to fraction form
    3,117.97/4,303.10 = 2,330.65/x
  3. Step 3: Cross multiply
    3,117.97x = 4,303.10 × 2,330.65
  4. Step 4: Simplify right side
    3,117.97x = 10,029,020.02
  5. Step 5: Solve for x
    x = 10,029,020.02/3,117.97
  6. Step 6: Final answer
    x = 3,216.52

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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.