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Finding the Fourth Proportional to 2,314.85, 3,473.94 and 909.47

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Solution

The fourth proportional to 2,314.85, 3,473.94 and 909.47 is: 1,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.85 : 3,473.94 = 909.47 : x
  2. Step 2: Convert to fraction form
    2,314.85/3,473.94 = 909.47/x
  3. Step 3: Cross multiply
    2,314.85x = 3,473.94 × 909.47
  4. Step 4: Simplify right side
    2,314.85x = 3,159,444.21
  5. Step 5: Solve for x
    x = 3,159,444.21/2,314.85
  6. Step 6: Final answer
    x = 1,364.86

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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.