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Finding the Fourth Proportional to 2,549.67, 3,520.02 and 1,807.71

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Solution

The fourth proportional to 2,549.67, 3,520.02 and 1,807.71 is: 2,495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.67 : 3,520.02 = 1,807.71 : x
  2. Step 2: Convert to fraction form
    2,549.67/3,520.02 = 1,807.71/x
  3. Step 3: Cross multiply
    2,549.67x = 3,520.02 × 1,807.71
  4. Step 4: Simplify right side
    2,549.67x = 6,363,175.35
  5. Step 5: Solve for x
    x = 6,363,175.35/2,549.67
  6. Step 6: Final answer
    x = 2,495.69

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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.