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Finding the Fourth Proportional to 2,591.53, 3,567.54 and 2,342.06

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Solution

The fourth proportional to 2,591.53, 3,567.54 and 2,342.06 is: 3,224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.53 : 3,567.54 = 2,342.06 : x
  2. Step 2: Convert to fraction form
    2,591.53/3,567.54 = 2,342.06/x
  3. Step 3: Cross multiply
    2,591.53x = 3,567.54 × 2,342.06
  4. Step 4: Simplify right side
    2,591.53x = 8,355,392.73
  5. Step 5: Solve for x
    x = 8,355,392.73/2,591.53
  6. Step 6: Final answer
    x = 3,224.12

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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.