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Finding the Fourth Proportional to 2,458.36, 3,689.06 and 997.53

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Solution

The fourth proportional to 2,458.36, 3,689.06 and 997.53 is: 1,496.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.36 : 3,689.06 = 997.53 : x
  2. Step 2: Convert to fraction form
    2,458.36/3,689.06 = 997.53/x
  3. Step 3: Cross multiply
    2,458.36x = 3,689.06 × 997.53
  4. Step 4: Simplify right side
    2,458.36x = 3,679,948.02
  5. Step 5: Solve for x
    x = 3,679,948.02/2,458.36
  6. Step 6: Final answer
    x = 1,496.91

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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.