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Finding the Fourth Proportional to 2,010.52, 3,015.82 and 549.71

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Solution

The fourth proportional to 2,010.52, 3,015.82 and 549.71 is: 824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.52 : 3,015.82 = 549.71 : x
  2. Step 2: Convert to fraction form
    2,010.52/3,015.82 = 549.71/x
  3. Step 3: Cross multiply
    2,010.52x = 3,015.82 × 549.71
  4. Step 4: Simplify right side
    2,010.52x = 1,657,823.33
  5. Step 5: Solve for x
    x = 1,657,823.33/2,010.52
  6. Step 6: Final answer
    x = 824.57

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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.