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Finding the Fourth Proportional to 2,298.70, 3,452.10 and 1,683.10

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Solution

The fourth proportional to 2,298.70, 3,452.10 and 1,683.10 is: 2,527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.70 : 3,452.10 = 1,683.10 : x
  2. Step 2: Convert to fraction form
    2,298.70/3,452.10 = 1,683.10/x
  3. Step 3: Cross multiply
    2,298.70x = 3,452.10 × 1,683.10
  4. Step 4: Simplify right side
    2,298.70x = 5,810,229.51
  5. Step 5: Solve for x
    x = 5,810,229.51/2,298.70
  6. Step 6: Final answer
    x = 2,527.62

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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.