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Finding the Fourth Proportional to 2,010.64, 3,016.02 and 549.76

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Solution

The fourth proportional to 2,010.64, 3,016.02 and 549.76 is: 824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.64 : 3,016.02 = 549.76 : x
  2. Step 2: Convert to fraction form
    2,010.64/3,016.02 = 549.76/x
  3. Step 3: Cross multiply
    2,010.64x = 3,016.02 × 549.76
  4. Step 4: Simplify right side
    2,010.64x = 1,658,087.16
  5. Step 5: Solve for x
    x = 1,658,087.16/2,010.64
  6. Step 6: Final answer
    x = 824.66

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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.