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Finding the Fourth Proportional to 1,601.50, 2,210.07 and 865.50

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Solution

The fourth proportional to 1,601.50, 2,210.07 and 865.50 is: 1,194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.50 : 2,210.07 = 865.50 : x
  2. Step 2: Convert to fraction form
    1,601.50/2,210.07 = 865.50/x
  3. Step 3: Cross multiply
    1,601.50x = 2,210.07 × 865.50
  4. Step 4: Simplify right side
    1,601.50x = 1,912,815.59
  5. Step 5: Solve for x
    x = 1,912,815.59/1,601.50
  6. Step 6: Final answer
    x = 1,194.39

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1.5x scale

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.