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Finding the Fourth Proportional to 1,605.18, 2,213 and 1,274.70

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Solution

The fourth proportional to 1,605.18, 2,213 and 1,274.70 is: 1,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.18 : 2,213 = 1,274.70 : x
  2. Step 2: Convert to fraction form
    1,605.18/2,213 = 1,274.70/x
  3. Step 3: Cross multiply
    1,605.18x = 2,213 × 1,274.70
  4. Step 4: Simplify right side
    1,605.18x = 2,820,911.10
  5. Step 5: Solve for x
    x = 2,820,911.10/1,605.18
  6. Step 6: Final answer
    x = 1,757.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.