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Finding the Fourth Proportional to 2,187.76, 3,275.16 and 2,010.64

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Solution

The fourth proportional to 2,187.76, 3,275.16 and 2,010.64 is: 3,010.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.76 : 3,275.16 = 2,010.64 : x
  2. Step 2: Convert to fraction form
    2,187.76/3,275.16 = 2,010.64/x
  3. Step 3: Cross multiply
    2,187.76x = 3,275.16 × 2,010.64
  4. Step 4: Simplify right side
    2,187.76x = 6,585,167.70
  5. Step 5: Solve for x
    x = 6,585,167.70/2,187.76
  6. Step 6: Final answer
    x = 3,010.00

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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.