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Finding the Fourth Proportional to 2,055.12, 3,084.84 and 901.68

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Solution

The fourth proportional to 2,055.12, 3,084.84 and 901.68 is: 1,353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.12 : 3,084.84 = 901.68 : x
  2. Step 2: Convert to fraction form
    2,055.12/3,084.84 = 901.68/x
  3. Step 3: Cross multiply
    2,055.12x = 3,084.84 × 901.68
  4. Step 4: Simplify right side
    2,055.12x = 2,781,538.53
  5. Step 5: Solve for x
    x = 2,781,538.53/2,055.12
  6. Step 6: Final answer
    x = 1,353.47

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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.