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Finding the Fourth Proportional to 2,318.83, 3,478.25 and 587.59

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Solution

The fourth proportional to 2,318.83, 3,478.25 and 587.59 is: 881.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.83 : 3,478.25 = 587.59 : x
  2. Step 2: Convert to fraction form
    2,318.83/3,478.25 = 587.59/x
  3. Step 3: Cross multiply
    2,318.83x = 3,478.25 × 587.59
  4. Step 4: Simplify right side
    2,318.83x = 2,043,784.92
  5. Step 5: Solve for x
    x = 2,043,784.92/2,318.83
  6. Step 6: Final answer
    x = 881.39

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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.