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Finding the Fourth Proportional to 2,317.66, 3,476.50 and 778.66

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Solution

The fourth proportional to 2,317.66, 3,476.50 and 778.66 is: 1,167.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.66 : 3,476.50 = 778.66 : x
  2. Step 2: Convert to fraction form
    2,317.66/3,476.50 = 778.66/x
  3. Step 3: Cross multiply
    2,317.66x = 3,476.50 × 778.66
  4. Step 4: Simplify right side
    2,317.66x = 2,707,011.49
  5. Step 5: Solve for x
    x = 2,707,011.49/2,317.66
  6. Step 6: Final answer
    x = 1,167.99

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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.