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Finding the Fourth Proportional to 2,645.14, 3,641.88 and 2,330.14

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Solution

The fourth proportional to 2,645.14, 3,641.88 and 2,330.14 is: 3,208.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.14 : 3,641.88 = 2,330.14 : x
  2. Step 2: Convert to fraction form
    2,645.14/3,641.88 = 2,330.14/x
  3. Step 3: Cross multiply
    2,645.14x = 3,641.88 × 2,330.14
  4. Step 4: Simplify right side
    2,645.14x = 8,486,090.26
  5. Step 5: Solve for x
    x = 8,486,090.26/2,645.14
  6. Step 6: Final answer
    x = 3,208.18

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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.