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Finding the Fourth Proportional to 2,275.74, 3,131.12 and 2,210.13

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Solution

The fourth proportional to 2,275.74, 3,131.12 and 2,210.13 is: 3,040.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.74 : 3,131.12 = 2,210.13 : x
  2. Step 2: Convert to fraction form
    2,275.74/3,131.12 = 2,210.13/x
  3. Step 3: Cross multiply
    2,275.74x = 3,131.12 × 2,210.13
  4. Step 4: Simplify right side
    2,275.74x = 6,920,187.77
  5. Step 5: Solve for x
    x = 6,920,187.77/2,275.74
  6. Step 6: Final answer
    x = 3,040.85

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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.