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Finding the Fourth Proportional to 2,010.77, 3,016.15 and 549.93

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Solution

The fourth proportional to 2,010.77, 3,016.15 and 549.93 is: 824.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.77 : 3,016.15 = 549.93 : x
  2. Step 2: Convert to fraction form
    2,010.77/3,016.15 = 549.93/x
  3. Step 3: Cross multiply
    2,010.77x = 3,016.15 × 549.93
  4. Step 4: Simplify right side
    2,010.77x = 1,658,671.37
  5. Step 5: Solve for x
    x = 1,658,671.37/2,010.77
  6. Step 6: Final answer
    x = 824.89

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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.