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Finding the Fourth Proportional to 2,543.15, 3,507.74 and 2,334

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Solution

The fourth proportional to 2,543.15, 3,507.74 and 2,334 is: 3,219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.15 : 3,507.74 = 2,334 : x
  2. Step 2: Convert to fraction form
    2,543.15/3,507.74 = 2,334/x
  3. Step 3: Cross multiply
    2,543.15x = 3,507.74 × 2,334
  4. Step 4: Simplify right side
    2,543.15x = 8,187,065.16
  5. Step 5: Solve for x
    x = 8,187,065.16/2,543.15
  6. Step 6: Final answer
    x = 3,219.26

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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.