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Finding the Fourth Proportional to 2,498.88, 3,448.62 and 1,658.10

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Solution

The fourth proportional to 2,498.88, 3,448.62 and 1,658.10 is: 2,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.88 : 3,448.62 = 1,658.10 : x
  2. Step 2: Convert to fraction form
    2,498.88/3,448.62 = 1,658.10/x
  3. Step 3: Cross multiply
    2,498.88x = 3,448.62 × 1,658.10
  4. Step 4: Simplify right side
    2,498.88x = 5,718,156.82
  5. Step 5: Solve for x
    x = 5,718,156.82/2,498.88
  6. Step 6: Final answer
    x = 2,288.29

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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.