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Finding the Fourth Proportional to 2,314.54, 3,471.52 and 648.80

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Solution

The fourth proportional to 2,314.54, 3,471.52 and 648.80 is: 973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.54 : 3,471.52 = 648.80 : x
  2. Step 2: Convert to fraction form
    2,314.54/3,471.52 = 648.80/x
  3. Step 3: Cross multiply
    2,314.54x = 3,471.52 × 648.80
  4. Step 4: Simplify right side
    2,314.54x = 2,252,322.18
  5. Step 5: Solve for x
    x = 2,252,322.18/2,314.54
  6. Step 6: Final answer
    x = 973.12

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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.