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Finding the Fourth Proportional to 2,667.02, 3,679.10 and 1,547.55

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Solution

The fourth proportional to 2,667.02, 3,679.10 and 1,547.55 is: 2,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.02 : 3,679.10 = 1,547.55 : x
  2. Step 2: Convert to fraction form
    2,667.02/3,679.10 = 1,547.55/x
  3. Step 3: Cross multiply
    2,667.02x = 3,679.10 × 1,547.55
  4. Step 4: Simplify right side
    2,667.02x = 5,693,583.47
  5. Step 5: Solve for x
    x = 5,693,583.47/2,667.02
  6. Step 6: Final answer
    x = 2,134.81

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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.