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Finding the Fourth Proportional to 2,087.22, 3,130.50 and 788.38

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Solution

The fourth proportional to 2,087.22, 3,130.50 and 788.38 is: 1,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.22 : 3,130.50 = 788.38 : x
  2. Step 2: Convert to fraction form
    2,087.22/3,130.50 = 788.38/x
  3. Step 3: Cross multiply
    2,087.22x = 3,130.50 × 788.38
  4. Step 4: Simplify right side
    2,087.22x = 2,468,023.59
  5. Step 5: Solve for x
    x = 2,468,023.59/2,087.22
  6. Step 6: Final answer
    x = 1,182.45

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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.