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Finding the Fourth Proportional to 1,901.52, 2,624.12 and 1,116.12

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Solution

The fourth proportional to 1,901.52, 2,624.12 and 1,116.12 is: 1,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.52 : 2,624.12 = 1,116.12 : x
  2. Step 2: Convert to fraction form
    1,901.52/2,624.12 = 1,116.12/x
  3. Step 3: Cross multiply
    1,901.52x = 2,624.12 × 1,116.12
  4. Step 4: Simplify right side
    1,901.52x = 2,928,832.81
  5. Step 5: Solve for x
    x = 2,928,832.81/1,901.52
  6. Step 6: Final answer
    x = 1,540.26

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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.