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Finding the Fourth Proportional to 2,657.82, 3,667.91 and 2,214.98

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Solution

The fourth proportional to 2,657.82, 3,667.91 and 2,214.98 is: 3,056.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.82 : 3,667.91 = 2,214.98 : x
  2. Step 2: Convert to fraction form
    2,657.82/3,667.91 = 2,214.98/x
  3. Step 3: Cross multiply
    2,657.82x = 3,667.91 × 2,214.98
  4. Step 4: Simplify right side
    2,657.82x = 8,124,347.29
  5. Step 5: Solve for x
    x = 8,124,347.29/2,657.82
  6. Step 6: Final answer
    x = 3,056.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.