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Finding the Fourth Proportional to 1,923.84, 2,885.76 and 1,877.76

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Solution

The fourth proportional to 1,923.84, 2,885.76 and 1,877.76 is: 2,816.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.84 : 2,885.76 = 1,877.76 : x
  2. Step 2: Convert to fraction form
    1,923.84/2,885.76 = 1,877.76/x
  3. Step 3: Cross multiply
    1,923.84x = 2,885.76 × 1,877.76
  4. Step 4: Simplify right side
    1,923.84x = 5,418,764.70
  5. Step 5: Solve for x
    x = 5,418,764.70/1,923.84
  6. Step 6: Final answer
    x = 2,816.64

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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.