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Finding the Fourth Proportional to 2,696.99, 4,045.65 and 848.18

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Solution

The fourth proportional to 2,696.99, 4,045.65 and 848.18 is: 1,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.99 : 4,045.65 = 848.18 : x
  2. Step 2: Convert to fraction form
    2,696.99/4,045.65 = 848.18/x
  3. Step 3: Cross multiply
    2,696.99x = 4,045.65 × 848.18
  4. Step 4: Simplify right side
    2,696.99x = 3,431,419.19
  5. Step 5: Solve for x
    x = 3,431,419.19/2,696.99
  6. Step 6: Final answer
    x = 1,272.32

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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.