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Finding the Fourth Proportional to 2,094.54, 2,891.42 and 1,535.04

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Solution

The fourth proportional to 2,094.54, 2,891.42 and 1,535.04 is: 2,119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.54 : 2,891.42 = 1,535.04 : x
  2. Step 2: Convert to fraction form
    2,094.54/2,891.42 = 1,535.04/x
  3. Step 3: Cross multiply
    2,094.54x = 2,891.42 × 1,535.04
  4. Step 4: Simplify right side
    2,094.54x = 4,438,437.68
  5. Step 5: Solve for x
    x = 4,438,437.68/2,094.54
  6. Step 6: Final answer
    x = 2,119.05

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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.