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Finding the Fourth Proportional to 2,337.49, 3,506.16 and 857.89

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Solution

The fourth proportional to 2,337.49, 3,506.16 and 857.89 is: 1,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.49 : 3,506.16 = 857.89 : x
  2. Step 2: Convert to fraction form
    2,337.49/3,506.16 = 857.89/x
  3. Step 3: Cross multiply
    2,337.49x = 3,506.16 × 857.89
  4. Step 4: Simplify right side
    2,337.49x = 3,007,882.07
  5. Step 5: Solve for x
    x = 3,007,882.07/2,337.49
  6. Step 6: Final answer
    x = 1,286.80

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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.