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Finding the Fourth Proportional to 2,318.88, 3,478.52 and 587.50

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Solution

The fourth proportional to 2,318.88, 3,478.52 and 587.50 is: 881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.88 : 3,478.52 = 587.50 : x
  2. Step 2: Convert to fraction form
    2,318.88/3,478.52 = 587.50/x
  3. Step 3: Cross multiply
    2,318.88x = 3,478.52 × 587.50
  4. Step 4: Simplify right side
    2,318.88x = 2,043,627.56
  5. Step 5: Solve for x
    x = 2,043,627.56/2,318.88
  6. Step 6: Final answer
    x = 881.30

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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.