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Finding the Fourth Proportional to 1,416.15, 1,952.64 and 1,226.70

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Solution

The fourth proportional to 1,416.15, 1,952.64 and 1,226.70 is: 1,691.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.15 : 1,952.64 = 1,226.70 : x
  2. Step 2: Convert to fraction form
    1,416.15/1,952.64 = 1,226.70/x
  3. Step 3: Cross multiply
    1,416.15x = 1,952.64 × 1,226.70
  4. Step 4: Simplify right side
    1,416.15x = 2,395,303.49
  5. Step 5: Solve for x
    x = 2,395,303.49/1,416.15
  6. Step 6: Final answer
    x = 1,691.42

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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.