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Finding the Fourth Proportional to 2,657.32, 3,667.54 and 2,214.52

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Solution

The fourth proportional to 2,657.32, 3,667.54 and 2,214.52 is: 3,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.32 : 3,667.54 = 2,214.52 : x
  2. Step 2: Convert to fraction form
    2,657.32/3,667.54 = 2,214.52/x
  3. Step 3: Cross multiply
    2,657.32x = 3,667.54 × 2,214.52
  4. Step 4: Simplify right side
    2,657.32x = 8,121,840.68
  5. Step 5: Solve for x
    x = 8,121,840.68/2,657.32
  6. Step 6: Final answer
    x = 3,056.40

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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.