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Finding the Fourth Proportional to 2,679.84, 4,020.48 and 948.56

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Solution

The fourth proportional to 2,679.84, 4,020.48 and 948.56 is: 1,423.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.84 : 4,020.48 = 948.56 : x
  2. Step 2: Convert to fraction form
    2,679.84/4,020.48 = 948.56/x
  3. Step 3: Cross multiply
    2,679.84x = 4,020.48 × 948.56
  4. Step 4: Simplify right side
    2,679.84x = 3,813,666.51
  5. Step 5: Solve for x
    x = 3,813,666.51/2,679.84
  6. Step 6: Final answer
    x = 1,423.09

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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.