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Finding the Fourth Proportional to 2,830.32, 4,245.84 and 882.36

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Solution

The fourth proportional to 2,830.32, 4,245.84 and 882.36 is: 1,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.32 : 4,245.84 = 882.36 : x
  2. Step 2: Convert to fraction form
    2,830.32/4,245.84 = 882.36/x
  3. Step 3: Cross multiply
    2,830.32x = 4,245.84 × 882.36
  4. Step 4: Simplify right side
    2,830.32x = 3,746,359.38
  5. Step 5: Solve for x
    x = 3,746,359.38/2,830.32
  6. Step 6: Final answer
    x = 1,323.65

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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.