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Finding the Fourth Proportional to 2,010.61, 3,015.92 and 549.57

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Solution

The fourth proportional to 2,010.61, 3,015.92 and 549.57 is: 824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.61 : 3,015.92 = 549.57 : x
  2. Step 2: Convert to fraction form
    2,010.61/3,015.92 = 549.57/x
  3. Step 3: Cross multiply
    2,010.61x = 3,015.92 × 549.57
  4. Step 4: Simplify right side
    2,010.61x = 1,657,459.15
  5. Step 5: Solve for x
    x = 1,657,459.15/2,010.61
  6. Step 6: Final answer
    x = 824.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.