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Finding the Fourth Proportional to 2,613.83, 3,606.97 and 1,434.88

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Solution

The fourth proportional to 2,613.83, 3,606.97 and 1,434.88 is: 1,980.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.83 : 3,606.97 = 1,434.88 : x
  2. Step 2: Convert to fraction form
    2,613.83/3,606.97 = 1,434.88/x
  3. Step 3: Cross multiply
    2,613.83x = 3,606.97 × 1,434.88
  4. Step 4: Simplify right side
    2,613.83x = 5,175,569.11
  5. Step 5: Solve for x
    x = 5,175,569.11/2,613.83
  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.