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Finding the Fourth Proportional to 2,613.94, 3,607.25 and 1,435.09

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Solution

The fourth proportional to 2,613.94, 3,607.25 and 1,435.09 is: 1,980.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.94 : 3,607.25 = 1,435.09 : x
  2. Step 2: Convert to fraction form
    2,613.94/3,607.25 = 1,435.09/x
  3. Step 3: Cross multiply
    2,613.94x = 3,607.25 × 1,435.09
  4. Step 4: Simplify right side
    2,613.94x = 5,176,712.21
  5. Step 5: Solve for x
    x = 5,176,712.21/2,613.94
  6. Step 6: Final answer
    x = 1,980.42

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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.