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Finding the Fourth Proportional to 1,616.14, 2,230.49 and 953.06

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Solution

The fourth proportional to 1,616.14, 2,230.49 and 953.06 is: 1,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.14 : 2,230.49 = 953.06 : x
  2. Step 2: Convert to fraction form
    1,616.14/2,230.49 = 953.06/x
  3. Step 3: Cross multiply
    1,616.14x = 2,230.49 × 953.06
  4. Step 4: Simplify right side
    1,616.14x = 2,125,774.88
  5. Step 5: Solve for x
    x = 2,125,774.88/1,616.14
  6. Step 6: Final answer
    x = 1,315.34

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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.