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Finding the Fourth Proportional to 3,026.68, 4,176.78 and 1,700.38

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Solution

The fourth proportional to 3,026.68, 4,176.78 and 1,700.38 is: 2,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.68 : 4,176.78 = 1,700.38 : x
  2. Step 2: Convert to fraction form
    3,026.68/4,176.78 = 1,700.38/x
  3. Step 3: Cross multiply
    3,026.68x = 4,176.78 × 1,700.38
  4. Step 4: Simplify right side
    3,026.68x = 7,102,113.18
  5. Step 5: Solve for x
    x = 7,102,113.18/3,026.68
  6. Step 6: Final answer
    x = 2,346.50

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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.