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Finding the Fourth Proportional to 1,895.92, 2,844.08 and 726.28

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Solution

The fourth proportional to 1,895.92, 2,844.08 and 726.28 is: 1,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.92 : 2,844.08 = 726.28 : x
  2. Step 2: Convert to fraction form
    1,895.92/2,844.08 = 726.28/x
  3. Step 3: Cross multiply
    1,895.92x = 2,844.08 × 726.28
  4. Step 4: Simplify right side
    1,895.92x = 2,065,598.42
  5. Step 5: Solve for x
    x = 2,065,598.42/1,895.92
  6. Step 6: Final answer
    x = 1,089.50

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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.