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Finding the Fourth Proportional to 2,314.87, 3,472.26 and 583.48

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Solution

The fourth proportional to 2,314.87, 3,472.26 and 583.48 is: 875.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.87 : 3,472.26 = 583.48 : x
  2. Step 2: Convert to fraction form
    2,314.87/3,472.26 = 583.48/x
  3. Step 3: Cross multiply
    2,314.87x = 3,472.26 × 583.48
  4. Step 4: Simplify right side
    2,314.87x = 2,025,994.26
  5. Step 5: Solve for x
    x = 2,025,994.26/2,314.87
  6. Step 6: Final answer
    x = 875.21

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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.