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Finding the Fourth Proportional to 2,851.70, 4,277.56 and 877.38

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Solution

The fourth proportional to 2,851.70, 4,277.56 and 877.38 is: 1,316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.70 : 4,277.56 = 877.38 : x
  2. Step 2: Convert to fraction form
    2,851.70/4,277.56 = 877.38/x
  3. Step 3: Cross multiply
    2,851.70x = 4,277.56 × 877.38
  4. Step 4: Simplify right side
    2,851.70x = 3,753,045.59
  5. Step 5: Solve for x
    x = 3,753,045.59/2,851.70
  6. Step 6: Final answer
    x = 1,316.07

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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.