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Finding the Fourth Proportional to 3,026.95, 4,176.84 and 1,700.37

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Solution

The fourth proportional to 3,026.95, 4,176.84 and 1,700.37 is: 2,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.95 : 4,176.84 = 1,700.37 : x
  2. Step 2: Convert to fraction form
    3,026.95/4,176.84 = 1,700.37/x
  3. Step 3: Cross multiply
    3,026.95x = 4,176.84 × 1,700.37
  4. Step 4: Simplify right side
    3,026.95x = 7,102,179.81
  5. Step 5: Solve for x
    x = 7,102,179.81/3,026.95
  6. Step 6: Final answer
    x = 2,346.32

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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.