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Finding the Fourth Proportional to 2,454.63, 3,388.01 and 1,658.20

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Solution

The fourth proportional to 2,454.63, 3,388.01 and 1,658.20 is: 2,288.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.63 : 3,388.01 = 1,658.20 : x
  2. Step 2: Convert to fraction form
    2,454.63/3,388.01 = 1,658.20/x
  3. Step 3: Cross multiply
    2,454.63x = 3,388.01 × 1,658.20
  4. Step 4: Simplify right side
    2,454.63x = 5,617,998.18
  5. Step 5: Solve for x
    x = 5,617,998.18/2,454.63
  6. Step 6: Final answer
    x = 2,288.74

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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.