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Finding the Fourth Proportional to 2,867.84, 4,301.76 and 1,712

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Solution

The fourth proportional to 2,867.84, 4,301.76 and 1,712 is: 2,568

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.84 : 4,301.76 = 1,712 : x
  2. Step 2: Convert to fraction form
    2,867.84/4,301.76 = 1,712/x
  3. Step 3: Cross multiply
    2,867.84x = 4,301.76 × 1,712
  4. Step 4: Simplify right side
    2,867.84x = 7,364,613.12
  5. Step 5: Solve for x
    x = 7,364,613.12/2,867.84
  6. Step 6: Final answer
    x = 2,568

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.