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Finding the Fourth Proportional to 2,653.61, 3,980.38 and 1,613.90

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Solution

The fourth proportional to 2,653.61, 3,980.38 and 1,613.90 is: 2,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.61 : 3,980.38 = 1,613.90 : x
  2. Step 2: Convert to fraction form
    2,653.61/3,980.38 = 1,613.90/x
  3. Step 3: Cross multiply
    2,653.61x = 3,980.38 × 1,613.90
  4. Step 4: Simplify right side
    2,653.61x = 6,423,915.38
  5. Step 5: Solve for x
    x = 6,423,915.38/2,653.61
  6. Step 6: Final answer
    x = 2,420.83

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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.