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Finding the Fourth Proportional to 1,924.23, 2,885.81 and 753.99

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Solution

The fourth proportional to 1,924.23, 2,885.81 and 753.99 is: 1,130.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.23 : 2,885.81 = 753.99 : x
  2. Step 2: Convert to fraction form
    1,924.23/2,885.81 = 753.99/x
  3. Step 3: Cross multiply
    1,924.23x = 2,885.81 × 753.99
  4. Step 4: Simplify right side
    1,924.23x = 2,175,868.11
  5. Step 5: Solve for x
    x = 2,175,868.11/1,924.23
  6. Step 6: Final answer
    x = 1,130.77

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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.