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Finding the Fourth Proportional to 2,146.69, 2,963.15 and 1,307.94

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Solution

The fourth proportional to 2,146.69, 2,963.15 and 1,307.94 is: 1,805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.69 : 2,963.15 = 1,307.94 : x
  2. Step 2: Convert to fraction form
    2,146.69/2,963.15 = 1,307.94/x
  3. Step 3: Cross multiply
    2,146.69x = 2,963.15 × 1,307.94
  4. Step 4: Simplify right side
    2,146.69x = 3,875,622.41
  5. Step 5: Solve for x
    x = 3,875,622.41/2,146.69
  6. Step 6: Final answer
    x = 1,805.39

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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.