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Finding the Fourth Proportional to 2,312.65, 3,191.52 and 1,317.90

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Solution

The fourth proportional to 2,312.65, 3,191.52 and 1,317.90 is: 1,818.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.65 : 3,191.52 = 1,317.90 : x
  2. Step 2: Convert to fraction form
    2,312.65/3,191.52 = 1,317.90/x
  3. Step 3: Cross multiply
    2,312.65x = 3,191.52 × 1,317.90
  4. Step 4: Simplify right side
    2,312.65x = 4,206,121.12
  5. Step 5: Solve for x
    x = 4,206,121.12/2,312.65
  6. Step 6: Final answer
    x = 1,818.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.