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Finding the Fourth Proportional to 3,248.33, 4,870.76 and 1,686.76

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Solution

The fourth proportional to 3,248.33, 4,870.76 and 1,686.76 is: 2,529.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.33 : 4,870.76 = 1,686.76 : x
  2. Step 2: Convert to fraction form
    3,248.33/4,870.76 = 1,686.76/x
  3. Step 3: Cross multiply
    3,248.33x = 4,870.76 × 1,686.76
  4. Step 4: Simplify right side
    3,248.33x = 8,215,803.14
  5. Step 5: Solve for x
    x = 8,215,803.14/3,248.33
  6. Step 6: Final answer
    x = 2,529.24

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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.