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Finding the Fourth Proportional to 1,788, 2,683.36 and 922.24

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Solution

The fourth proportional to 1,788, 2,683.36 and 922.24 is: 1,384.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788 : 2,683.36 = 922.24 : x
  2. Step 2: Convert to fraction form
    1,788/2,683.36 = 922.24/x
  3. Step 3: Cross multiply
    1,788x = 2,683.36 × 922.24
  4. Step 4: Simplify right side
    1,788x = 2,474,701.93
  5. Step 5: Solve for x
    x = 2,474,701.93/1,788
  6. Step 6: Final answer
    x = 1,384.06

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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.