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Finding the Fourth Proportional to 1,356.75, 2,036.49 and 916.59

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Solution

The fourth proportional to 1,356.75, 2,036.49 and 916.59 is: 1,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.75 : 2,036.49 = 916.59 : x
  2. Step 2: Convert to fraction form
    1,356.75/2,036.49 = 916.59/x
  3. Step 3: Cross multiply
    1,356.75x = 2,036.49 × 916.59
  4. Step 4: Simplify right side
    1,356.75x = 1,866,626.37
  5. Step 5: Solve for x
    x = 1,866,626.37/1,356.75
  6. Step 6: Final answer
    x = 1,375.81

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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.