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Finding the Fourth Proportional to 2,074.88, 2,864.40 and 1,700.96

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Solution

The fourth proportional to 2,074.88, 2,864.40 and 1,700.96 is: 2,348.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.88 : 2,864.40 = 1,700.96 : x
  2. Step 2: Convert to fraction form
    2,074.88/2,864.40 = 1,700.96/x
  3. Step 3: Cross multiply
    2,074.88x = 2,864.40 × 1,700.96
  4. Step 4: Simplify right side
    2,074.88x = 4,872,229.82
  5. Step 5: Solve for x
    x = 4,872,229.82/2,074.88
  6. Step 6: Final answer
    x = 2,348.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.