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Finding the Fourth Proportional to 2,367.59, 3,552.15 and 983.60

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Solution

The fourth proportional to 2,367.59, 3,552.15 and 983.60 is: 1,475.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.59 : 3,552.15 = 983.60 : x
  2. Step 2: Convert to fraction form
    2,367.59/3,552.15 = 983.60/x
  3. Step 3: Cross multiply
    2,367.59x = 3,552.15 × 983.60
  4. Step 4: Simplify right side
    2,367.59x = 3,493,893.99
  5. Step 5: Solve for x
    x = 3,493,893.99/2,367.59
  6. Step 6: Final answer
    x = 1,475.72

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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.