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Finding the Fourth Proportional to 1,679.76, 2,316 and 1,286.16

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Solution

The fourth proportional to 1,679.76, 2,316 and 1,286.16 is: 1,773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.76 : 2,316 = 1,286.16 : x
  2. Step 2: Convert to fraction form
    1,679.76/2,316 = 1,286.16/x
  3. Step 3: Cross multiply
    1,679.76x = 2,316 × 1,286.16
  4. Step 4: Simplify right side
    1,679.76x = 2,978,746.56
  5. Step 5: Solve for x
    x = 2,978,746.56/1,679.76
  6. Step 6: Final answer
    x = 1,773.32

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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.