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Finding the Fourth Proportional to 3,143.33, 4,337.70 and 1,817

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Solution

The fourth proportional to 3,143.33, 4,337.70 and 1,817 is: 2,507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.33 : 4,337.70 = 1,817 : x
  2. Step 2: Convert to fraction form
    3,143.33/4,337.70 = 1,817/x
  3. Step 3: Cross multiply
    3,143.33x = 4,337.70 × 1,817
  4. Step 4: Simplify right side
    3,143.33x = 7,881,600.90
  5. Step 5: Solve for x
    x = 7,881,600.90/3,143.33
  6. Step 6: Final answer
    x = 2,507.40

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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.