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Finding the Fourth Proportional to 1,791.51, 2,473.77 and 1,319.95

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Solution

The fourth proportional to 1,791.51, 2,473.77 and 1,319.95 is: 1,822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.51 : 2,473.77 = 1,319.95 : x
  2. Step 2: Convert to fraction form
    1,791.51/2,473.77 = 1,319.95/x
  3. Step 3: Cross multiply
    1,791.51x = 2,473.77 × 1,319.95
  4. Step 4: Simplify right side
    1,791.51x = 3,265,252.71
  5. Step 5: Solve for x
    x = 3,265,252.71/1,791.51
  6. Step 6: Final answer
    x = 1,822.63

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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.