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Finding the Fourth Proportional to 1,616.94, 2,424.65 and 794.25

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Solution

The fourth proportional to 1,616.94, 2,424.65 and 794.25 is: 1,191.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.94 : 2,424.65 = 794.25 : x
  2. Step 2: Convert to fraction form
    1,616.94/2,424.65 = 794.25/x
  3. Step 3: Cross multiply
    1,616.94x = 2,424.65 × 794.25
  4. Step 4: Simplify right side
    1,616.94x = 1,925,774.29
  5. Step 5: Solve for x
    x = 1,925,774.29/1,616.94
  6. Step 6: Final answer
    x = 1,191.00

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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.