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Finding the Fourth Proportional to 1,716.78, 2,369.16 and 1,018.20

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Solution

The fourth proportional to 1,716.78, 2,369.16 and 1,018.20 is: 1,405.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.78 : 2,369.16 = 1,018.20 : x
  2. Step 2: Convert to fraction form
    1,716.78/2,369.16 = 1,018.20/x
  3. Step 3: Cross multiply
    1,716.78x = 2,369.16 × 1,018.20
  4. Step 4: Simplify right side
    1,716.78x = 2,412,278.71
  5. Step 5: Solve for x
    x = 2,412,278.71/1,716.78
  6. Step 6: Final answer
    x = 1,405.12

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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.