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Finding the Fourth Proportional to 3,641.50, 5,460.86 and 1,301.07

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Solution

The fourth proportional to 3,641.50, 5,460.86 and 1,301.07 is: 1,951.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.50 : 5,460.86 = 1,301.07 : x
  2. Step 2: Convert to fraction form
    3,641.50/5,460.86 = 1,301.07/x
  3. Step 3: Cross multiply
    3,641.50x = 5,460.86 × 1,301.07
  4. Step 4: Simplify right side
    3,641.50x = 7,104,961.12
  5. Step 5: Solve for x
    x = 7,104,961.12/3,641.50
  6. Step 6: Final answer
    x = 1,951.11

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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.