Home / 2,314.20-3,470.22-670.35

Finding the Fourth Proportional to 2,314.20, 3,470.22 and 670.35

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Solution

The fourth proportional to 2,314.20, 3,470.22 and 670.35 is: 1,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.20 : 3,470.22 = 670.35 : x
  2. Step 2: Convert to fraction form
    2,314.20/3,470.22 = 670.35/x
  3. Step 3: Cross multiply
    2,314.20x = 3,470.22 × 670.35
  4. Step 4: Simplify right side
    2,314.20x = 2,326,261.98
  5. Step 5: Solve for x
    x = 2,326,261.98/2,314.20
  6. Step 6: Final answer
    x = 1,005.21

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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.