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Finding the Fourth Proportional to 4,297.16, 6,435.18 and 2,098.80

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Solution

The fourth proportional to 4,297.16, 6,435.18 and 2,098.80 is: 3,143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.16 : 6,435.18 = 2,098.80 : x
  2. Step 2: Convert to fraction form
    4,297.16/6,435.18 = 2,098.80/x
  3. Step 3: Cross multiply
    4,297.16x = 6,435.18 × 2,098.80
  4. Step 4: Simplify right side
    4,297.16x = 13,506,155.78
  5. Step 5: Solve for x
    x = 13,506,155.78/4,297.16
  6. Step 6: Final answer
    x = 3,143.04

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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.