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Finding the Fourth Proportional to 2,192.63, 3,290.45 and 876.24

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Solution

The fourth proportional to 2,192.63, 3,290.45 and 876.24 is: 1,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.63 : 3,290.45 = 876.24 : x
  2. Step 2: Convert to fraction form
    2,192.63/3,290.45 = 876.24/x
  3. Step 3: Cross multiply
    2,192.63x = 3,290.45 × 876.24
  4. Step 4: Simplify right side
    2,192.63x = 2,883,219.53
  5. Step 5: Solve for x
    x = 2,883,219.53/2,192.63
  6. Step 6: Final answer
    x = 1,314.96

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1.5x scale

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.