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Finding the Fourth Proportional to 2,314.58, 3,471.87 and 583.34

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Solution

The fourth proportional to 2,314.58, 3,471.87 and 583.34 is: 875.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.58 : 3,471.87 = 583.34 : x
  2. Step 2: Convert to fraction form
    2,314.58/3,471.87 = 583.34/x
  3. Step 3: Cross multiply
    2,314.58x = 3,471.87 × 583.34
  4. Step 4: Simplify right side
    2,314.58x = 2,025,280.65
  5. Step 5: Solve for x
    x = 2,025,280.65/2,314.58
  6. Step 6: Final answer
    x = 875.01

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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.