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Finding the Fourth Proportional to 2,670.65, 4,006.54 and 821.72

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Solution

The fourth proportional to 2,670.65, 4,006.54 and 821.72 is: 1,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.65 : 4,006.54 = 821.72 : x
  2. Step 2: Convert to fraction form
    2,670.65/4,006.54 = 821.72/x
  3. Step 3: Cross multiply
    2,670.65x = 4,006.54 × 821.72
  4. Step 4: Simplify right side
    2,670.65x = 3,292,250.07
  5. Step 5: Solve for x
    x = 3,292,250.07/2,670.65
  6. Step 6: Final answer
    x = 1,232.75

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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.