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Finding the Fourth Proportional to 2,681.76, 4,023 and 950.40

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Solution

The fourth proportional to 2,681.76, 4,023 and 950.40 is: 1,425.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.76 : 4,023 = 950.40 : x
  2. Step 2: Convert to fraction form
    2,681.76/4,023 = 950.40/x
  3. Step 3: Cross multiply
    2,681.76x = 4,023 × 950.40
  4. Step 4: Simplify right side
    2,681.76x = 3,823,459.20
  5. Step 5: Solve for x
    x = 3,823,459.20/2,681.76
  6. Step 6: Final answer
    x = 1,425.73

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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.