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Finding the Fourth Proportional to 1,928.23, 2,888.49 and 886.81

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Solution

The fourth proportional to 1,928.23, 2,888.49 and 886.81 is: 1,328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.23 : 2,888.49 = 886.81 : x
  2. Step 2: Convert to fraction form
    1,928.23/2,888.49 = 886.81/x
  3. Step 3: Cross multiply
    1,928.23x = 2,888.49 × 886.81
  4. Step 4: Simplify right side
    1,928.23x = 2,561,522.94
  5. Step 5: Solve for x
    x = 2,561,522.94/1,928.23
  6. Step 6: Final answer
    x = 1,328.43

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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.