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Finding the Fourth Proportional to 3,001.84, 4,502.54 and 810.78

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Solution

The fourth proportional to 3,001.84, 4,502.54 and 810.78 is: 1,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.84 : 4,502.54 = 810.78 : x
  2. Step 2: Convert to fraction form
    3,001.84/4,502.54 = 810.78/x
  3. Step 3: Cross multiply
    3,001.84x = 4,502.54 × 810.78
  4. Step 4: Simplify right side
    3,001.84x = 3,650,569.38
  5. Step 5: Solve for x
    x = 3,650,569.38/3,001.84
  6. Step 6: Final answer
    x = 1,216.11

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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.