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Finding the Fourth Proportional to 1,892.57, 2,839.32 and 782.06

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Solution

The fourth proportional to 1,892.57, 2,839.32 and 782.06 is: 1,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.57 : 2,839.32 = 782.06 : x
  2. Step 2: Convert to fraction form
    1,892.57/2,839.32 = 782.06/x
  3. Step 3: Cross multiply
    1,892.57x = 2,839.32 × 782.06
  4. Step 4: Simplify right side
    1,892.57x = 2,220,504.40
  5. Step 5: Solve for x
    x = 2,220,504.40/1,892.57
  6. Step 6: Final answer
    x = 1,173.28

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1.5x scale

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.