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Finding the Fourth Proportional to 2,307.17, 3,185.43 and 1,424.27

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Solution

The fourth proportional to 2,307.17, 3,185.43 and 1,424.27 is: 1,966.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.17 : 3,185.43 = 1,424.27 : x
  2. Step 2: Convert to fraction form
    2,307.17/3,185.43 = 1,424.27/x
  3. Step 3: Cross multiply
    2,307.17x = 3,185.43 × 1,424.27
  4. Step 4: Simplify right side
    2,307.17x = 4,536,915.01
  5. Step 5: Solve for x
    x = 4,536,915.01/2,307.17
  6. Step 6: Final answer
    x = 1,966.44

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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.