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Finding the Fourth Proportional to 2,014.88, 2,781.74 and 1,317.47

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Solution

The fourth proportional to 2,014.88, 2,781.74 and 1,317.47 is: 1,818.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.88 : 2,781.74 = 1,317.47 : x
  2. Step 2: Convert to fraction form
    2,014.88/2,781.74 = 1,317.47/x
  3. Step 3: Cross multiply
    2,014.88x = 2,781.74 × 1,317.47
  4. Step 4: Simplify right side
    2,014.88x = 3,664,848.38
  5. Step 5: Solve for x
    x = 3,664,848.38/2,014.88
  6. Step 6: Final answer
    x = 1,818.90

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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.