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Finding the Fourth Proportional to 2,339.16, 3,506.06 and 857.72

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Solution

The fourth proportional to 2,339.16, 3,506.06 and 857.72 is: 1,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.16 : 3,506.06 = 857.72 : x
  2. Step 2: Convert to fraction form
    2,339.16/3,506.06 = 857.72/x
  3. Step 3: Cross multiply
    2,339.16x = 3,506.06 × 857.72
  4. Step 4: Simplify right side
    2,339.16x = 3,007,217.78
  5. Step 5: Solve for x
    x = 3,007,217.78/2,339.16
  6. Step 6: Final answer
    x = 1,285.60

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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.