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Finding the Fourth Proportional to 4,298.80, 6,449.10 and 1,701.76

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Solution

The fourth proportional to 4,298.80, 6,449.10 and 1,701.76 is: 2,553.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.80 : 6,449.10 = 1,701.76 : x
  2. Step 2: Convert to fraction form
    4,298.80/6,449.10 = 1,701.76/x
  3. Step 3: Cross multiply
    4,298.80x = 6,449.10 × 1,701.76
  4. Step 4: Simplify right side
    4,298.80x = 10,974,820.42
  5. Step 5: Solve for x
    x = 10,974,820.42/4,298.80
  6. Step 6: Final answer
    x = 2,553.00

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