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Finding the Fourth Proportional to 2,613.60, 3,606.90 and 1,434.78

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Solution

The fourth proportional to 2,613.60, 3,606.90 and 1,434.78 is: 1,980.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.60 : 3,606.90 = 1,434.78 : x
  2. Step 2: Convert to fraction form
    2,613.60/3,606.90 = 1,434.78/x
  3. Step 3: Cross multiply
    2,613.60x = 3,606.90 × 1,434.78
  4. Step 4: Simplify right side
    2,613.60x = 5,175,107.98
  5. Step 5: Solve for x
    x = 5,175,107.98/2,613.60
  6. Step 6: Final answer
    x = 1,980.07

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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.