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Finding the Fourth Proportional to 2,873.60, 3,962.88 and 1,694.72

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Solution

The fourth proportional to 2,873.60, 3,962.88 and 1,694.72 is: 2,337.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.60 : 3,962.88 = 1,694.72 : x
  2. Step 2: Convert to fraction form
    2,873.60/3,962.88 = 1,694.72/x
  3. Step 3: Cross multiply
    2,873.60x = 3,962.88 × 1,694.72
  4. Step 4: Simplify right side
    2,873.60x = 6,715,971.99
  5. Step 5: Solve for x
    x = 6,715,971.99/2,873.60
  6. Step 6: Final answer
    x = 2,337.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.