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Finding the Fourth Proportional to 2,742.08, 4,112.91 and 894.06

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Solution

The fourth proportional to 2,742.08, 4,112.91 and 894.06 is: 1,341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.08 : 4,112.91 = 894.06 : x
  2. Step 2: Convert to fraction form
    2,742.08/4,112.91 = 894.06/x
  3. Step 3: Cross multiply
    2,742.08x = 4,112.91 × 894.06
  4. Step 4: Simplify right side
    2,742.08x = 3,677,188.31
  5. Step 5: Solve for x
    x = 3,677,188.31/2,742.08
  6. Step 6: Final answer
    x = 1,341.02

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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.