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Finding the Fourth Proportional to 1,535.95, 2,119.56 and 906.52

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Solution

The fourth proportional to 1,535.95, 2,119.56 and 906.52 is: 1,250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.95 : 2,119.56 = 906.52 : x
  2. Step 2: Convert to fraction form
    1,535.95/2,119.56 = 906.52/x
  3. Step 3: Cross multiply
    1,535.95x = 2,119.56 × 906.52
  4. Step 4: Simplify right side
    1,535.95x = 1,921,412.93
  5. Step 5: Solve for x
    x = 1,921,412.93/1,535.95
  6. Step 6: Final answer
    x = 1,250.96

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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.