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Finding the Fourth Proportional to 2,157.86, 2,977.14 and 1,318.26

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Solution

The fourth proportional to 2,157.86, 2,977.14 and 1,318.26 is: 1,818.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.86 : 2,977.14 = 1,318.26 : x
  2. Step 2: Convert to fraction form
    2,157.86/2,977.14 = 1,318.26/x
  3. Step 3: Cross multiply
    2,157.86x = 2,977.14 × 1,318.26
  4. Step 4: Simplify right side
    2,157.86x = 3,924,644.58
  5. Step 5: Solve for x
    x = 3,924,644.58/2,157.86
  6. Step 6: Final answer
    x = 1,818.77

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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.