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Finding the Fourth Proportional to 2,696.69, 4,045.95 and 848.07

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Solution

The fourth proportional to 2,696.69, 4,045.95 and 848.07 is: 1,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.69 : 4,045.95 = 848.07 : x
  2. Step 2: Convert to fraction form
    2,696.69/4,045.95 = 848.07/x
  3. Step 3: Cross multiply
    2,696.69x = 4,045.95 × 848.07
  4. Step 4: Simplify right side
    2,696.69x = 3,431,248.82
  5. Step 5: Solve for x
    x = 3,431,248.82/2,696.69
  6. Step 6: Final answer
    x = 1,272.39

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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.