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Finding the Fourth Proportional to 1,618.06, 2,426.96 and 522.12

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Solution

The fourth proportional to 1,618.06, 2,426.96 and 522.12 is: 783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.06 : 2,426.96 = 522.12 : x
  2. Step 2: Convert to fraction form
    1,618.06/2,426.96 = 522.12/x
  3. Step 3: Cross multiply
    1,618.06x = 2,426.96 × 522.12
  4. Step 4: Simplify right side
    1,618.06x = 1,267,164.36
  5. Step 5: Solve for x
    x = 1,267,164.36/1,618.06
  6. Step 6: Final answer
    x = 783.14

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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.