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Finding the Fourth Proportional to 2,665.39, 3,677.57 and 1,486.16

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Solution

The fourth proportional to 2,665.39, 3,677.57 and 1,486.16 is: 2,050.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.39 : 3,677.57 = 1,486.16 : x
  2. Step 2: Convert to fraction form
    2,665.39/3,677.57 = 1,486.16/x
  3. Step 3: Cross multiply
    2,665.39x = 3,677.57 × 1,486.16
  4. Step 4: Simplify right side
    2,665.39x = 5,465,457.43
  5. Step 5: Solve for x
    x = 5,465,457.43/2,665.39
  6. Step 6: Final answer
    x = 2,050.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.