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Finding the Fourth Proportional to 3,078.88, 4,617.80 and 887.10

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Solution

The fourth proportional to 3,078.88, 4,617.80 and 887.10 is: 1,330.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.88 : 4,617.80 = 887.10 : x
  2. Step 2: Convert to fraction form
    3,078.88/4,617.80 = 887.10/x
  3. Step 3: Cross multiply
    3,078.88x = 4,617.80 × 887.10
  4. Step 4: Simplify right side
    3,078.88x = 4,096,450.38
  5. Step 5: Solve for x
    x = 4,096,450.38/3,078.88
  6. Step 6: Final answer
    x = 1,330.50

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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.