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Finding the Fourth Proportional to 1,915.42, 2,642.82 and 1,216.39

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Solution

The fourth proportional to 1,915.42, 2,642.82 and 1,216.39 is: 1,678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.42 : 2,642.82 = 1,216.39 : x
  2. Step 2: Convert to fraction form
    1,915.42/2,642.82 = 1,216.39/x
  3. Step 3: Cross multiply
    1,915.42x = 2,642.82 × 1,216.39
  4. Step 4: Simplify right side
    1,915.42x = 3,214,699.82
  5. Step 5: Solve for x
    x = 3,214,699.82/1,915.42
  6. Step 6: Final answer
    x = 1,678.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.