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Finding the Fourth Proportional to 2,830.57, 4,246.29 and 882.32

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Solution

The fourth proportional to 2,830.57, 4,246.29 and 882.32 is: 1,323.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.57 : 4,246.29 = 882.32 : x
  2. Step 2: Convert to fraction form
    2,830.57/4,246.29 = 882.32/x
  3. Step 3: Cross multiply
    2,830.57x = 4,246.29 × 882.32
  4. Step 4: Simplify right side
    2,830.57x = 3,746,565.36
  5. Step 5: Solve for x
    x = 3,746,565.36/2,830.57
  6. Step 6: Final answer
    x = 1,323.61

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Why These Related Problems?

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