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Finding the Fourth Proportional to 3,364.13, 4,640.76 and 1,966.07

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Solution

The fourth proportional to 3,364.13, 4,640.76 and 1,966.07 is: 2,712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.13 : 4,640.76 = 1,966.07 : x
  2. Step 2: Convert to fraction form
    3,364.13/4,640.76 = 1,966.07/x
  3. Step 3: Cross multiply
    3,364.13x = 4,640.76 × 1,966.07
  4. Step 4: Simplify right side
    3,364.13x = 9,124,059.01
  5. Step 5: Solve for x
    x = 9,124,059.01/3,364.13
  6. Step 6: Final answer
    x = 2,712.16

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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.