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Finding the Fourth Proportional to 2,667.59, 3,982.13 and 2,547.77

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Solution

The fourth proportional to 2,667.59, 3,982.13 and 2,547.77 is: 3,803.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.59 : 3,982.13 = 2,547.77 : x
  2. Step 2: Convert to fraction form
    2,667.59/3,982.13 = 2,547.77/x
  3. Step 3: Cross multiply
    2,667.59x = 3,982.13 × 2,547.77
  4. Step 4: Simplify right side
    2,667.59x = 10,145,518.70
  5. Step 5: Solve for x
    x = 10,145,518.70/2,667.59
  6. Step 6: Final answer
    x = 3,803.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.