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Finding the Fourth Proportional to 2,314.15, 3,470.29 and 852.98

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Solution

The fourth proportional to 2,314.15, 3,470.29 and 852.98 is: 1,279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.15 : 3,470.29 = 852.98 : x
  2. Step 2: Convert to fraction form
    2,314.15/3,470.29 = 852.98/x
  3. Step 3: Cross multiply
    2,314.15x = 3,470.29 × 852.98
  4. Step 4: Simplify right side
    2,314.15x = 2,960,068.48
  5. Step 5: Solve for x
    x = 2,960,068.48/2,314.15
  6. Step 6: Final answer
    x = 1,279.12

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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.