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Finding the Fourth Proportional to 2,498.92, 3,746.34 and 1,717

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Solution

The fourth proportional to 2,498.92, 3,746.34 and 1,717 is: 2,574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.92 : 3,746.34 = 1,717 : x
  2. Step 2: Convert to fraction form
    2,498.92/3,746.34 = 1,717/x
  3. Step 3: Cross multiply
    2,498.92x = 3,746.34 × 1,717
  4. Step 4: Simplify right side
    2,498.92x = 6,432,465.78
  5. Step 5: Solve for x
    x = 6,432,465.78/2,498.92
  6. Step 6: Final answer
    x = 2,574.10

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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.