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Finding the Fourth Proportional to 2,186.70, 3,018.70 and 1,401.22

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Solution

The fourth proportional to 2,186.70, 3,018.70 and 1,401.22 is: 1,934.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.70 : 3,018.70 = 1,401.22 : x
  2. Step 2: Convert to fraction form
    2,186.70/3,018.70 = 1,401.22/x
  3. Step 3: Cross multiply
    2,186.70x = 3,018.70 × 1,401.22
  4. Step 4: Simplify right side
    2,186.70x = 4,229,862.81
  5. Step 5: Solve for x
    x = 4,229,862.81/2,186.70
  6. Step 6: Final answer
    x = 1,934.36

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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.