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Finding the Fourth Proportional to 2,298.57, 3,170.91 and 1,412.83

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Solution

The fourth proportional to 2,298.57, 3,170.91 and 1,412.83 is: 1,949.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.57 : 3,170.91 = 1,412.83 : x
  2. Step 2: Convert to fraction form
    2,298.57/3,170.91 = 1,412.83/x
  3. Step 3: Cross multiply
    2,298.57x = 3,170.91 × 1,412.83
  4. Step 4: Simplify right side
    2,298.57x = 4,479,966.04
  5. Step 5: Solve for x
    x = 4,479,966.04/2,298.57
  6. Step 6: Final answer
    x = 1,949.03

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