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Finding the Fourth Proportional to 2,314.40, 3,471.53 and 670.91

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Solution

The fourth proportional to 2,314.40, 3,471.53 and 670.91 is: 1,006.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.40 : 3,471.53 = 670.91 : x
  2. Step 2: Convert to fraction form
    2,314.40/3,471.53 = 670.91/x
  3. Step 3: Cross multiply
    2,314.40x = 3,471.53 × 670.91
  4. Step 4: Simplify right side
    2,314.40x = 2,329,063.48
  5. Step 5: Solve for x
    x = 2,329,063.48/2,314.40
  6. Step 6: Final answer
    x = 1,006.34

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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.