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Finding the Fourth Proportional to 2,314.68, 3,467.98 and 1,927.17

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Solution

The fourth proportional to 2,314.68, 3,467.98 and 1,927.17 is: 2,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.68 : 3,467.98 = 1,927.17 : x
  2. Step 2: Convert to fraction form
    2,314.68/3,467.98 = 1,927.17/x
  3. Step 3: Cross multiply
    2,314.68x = 3,467.98 × 1,927.17
  4. Step 4: Simplify right side
    2,314.68x = 6,683,390.39
  5. Step 5: Solve for x
    x = 6,683,390.39/2,314.68
  6. Step 6: Final answer
    x = 2,887.39

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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.