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Finding the Fourth Proportional to 2,298.46, 3,449.42 and 1,683.76

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Solution

The fourth proportional to 2,298.46, 3,449.42 and 1,683.76 is: 2,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.46 : 3,449.42 = 1,683.76 : x
  2. Step 2: Convert to fraction form
    2,298.46/3,449.42 = 1,683.76/x
  3. Step 3: Cross multiply
    2,298.46x = 3,449.42 × 1,683.76
  4. Step 4: Simplify right side
    2,298.46x = 5,807,995.42
  5. Step 5: Solve for x
    x = 5,807,995.42/2,298.46
  6. Step 6: Final answer
    x = 2,526.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.