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Finding the Fourth Proportional to 1,605.84, 2,409.72 and 922.32

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Solution

The fourth proportional to 1,605.84, 2,409.72 and 922.32 is: 1,384.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.84 : 2,409.72 = 922.32 : x
  2. Step 2: Convert to fraction form
    1,605.84/2,409.72 = 922.32/x
  3. Step 3: Cross multiply
    1,605.84x = 2,409.72 × 922.32
  4. Step 4: Simplify right side
    1,605.84x = 2,222,532.95
  5. Step 5: Solve for x
    x = 2,222,532.95/1,605.84
  6. Step 6: Final answer
    x = 1,384.03

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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.