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Finding the Fourth Proportional to 1,486.07, 2,050.74 and 822.95

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Solution

The fourth proportional to 1,486.07, 2,050.74 and 822.95 is: 1,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.07 : 2,050.74 = 822.95 : x
  2. Step 2: Convert to fraction form
    1,486.07/2,050.74 = 822.95/x
  3. Step 3: Cross multiply
    1,486.07x = 2,050.74 × 822.95
  4. Step 4: Simplify right side
    1,486.07x = 1,687,661.61
  5. Step 5: Solve for x
    x = 1,687,661.61/1,486.07
  6. Step 6: Final answer
    x = 1,135.65

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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.