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Finding the Fourth Proportional to 2,613.90, 3,607.14 and 1,434.96

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Solution

The fourth proportional to 2,613.90, 3,607.14 and 1,434.96 is: 1,980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.90 : 3,607.14 = 1,434.96 : x
  2. Step 2: Convert to fraction form
    2,613.90/3,607.14 = 1,434.96/x
  3. Step 3: Cross multiply
    2,613.90x = 3,607.14 × 1,434.96
  4. Step 4: Simplify right side
    2,613.90x = 5,176,101.61
  5. Step 5: Solve for x
    x = 5,176,101.61/2,613.90
  6. Step 6: Final answer
    x = 1,980.22

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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.