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Finding the Fourth Proportional to 1,716.68, 2,574.98 and 418.14

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Solution

The fourth proportional to 1,716.68, 2,574.98 and 418.14 is: 627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.68 : 2,574.98 = 418.14 : x
  2. Step 2: Convert to fraction form
    1,716.68/2,574.98 = 418.14/x
  3. Step 3: Cross multiply
    1,716.68x = 2,574.98 × 418.14
  4. Step 4: Simplify right side
    1,716.68x = 1,076,702.14
  5. Step 5: Solve for x
    x = 1,076,702.14/1,716.68
  6. Step 6: Final answer
    x = 627.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.