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Finding the Fourth Proportional to 2,746.87, 4,119.75 and 898.04

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Solution

The fourth proportional to 2,746.87, 4,119.75 and 898.04 is: 1,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.87 : 4,119.75 = 898.04 : x
  2. Step 2: Convert to fraction form
    2,746.87/4,119.75 = 898.04/x
  3. Step 3: Cross multiply
    2,746.87x = 4,119.75 × 898.04
  4. Step 4: Simplify right side
    2,746.87x = 3,699,700.29
  5. Step 5: Solve for x
    x = 3,699,700.29/2,746.87
  6. Step 6: Final answer
    x = 1,346.88

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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.