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Finding the Fourth Proportional to 2,696.74, 4,045.39 and 748.95

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Solution

The fourth proportional to 2,696.74, 4,045.39 and 748.95 is: 1,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.74 : 4,045.39 = 748.95 : x
  2. Step 2: Convert to fraction form
    2,696.74/4,045.39 = 748.95/x
  3. Step 3: Cross multiply
    2,696.74x = 4,045.39 × 748.95
  4. Step 4: Simplify right side
    2,696.74x = 3,029,782.01
  5. Step 5: Solve for x
    x = 3,029,782.01/2,696.74
  6. Step 6: Final answer
    x = 1,123.50

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1.5x scale

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.