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Finding the Fourth Proportional to 2,272.35, 3,135.03 and 1,486.86

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Solution

The fourth proportional to 2,272.35, 3,135.03 and 1,486.86 is: 2,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.35 : 3,135.03 = 1,486.86 : x
  2. Step 2: Convert to fraction form
    2,272.35/3,135.03 = 1,486.86/x
  3. Step 3: Cross multiply
    2,272.35x = 3,135.03 × 1,486.86
  4. Step 4: Simplify right side
    2,272.35x = 4,661,350.71
  5. Step 5: Solve for x
    x = 4,661,350.71/2,272.35
  6. Step 6: Final answer
    x = 2,051.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.