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Finding the Fourth Proportional to 1,927.71, 2,661.93 and 1,536.48

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Solution

The fourth proportional to 1,927.71, 2,661.93 and 1,536.48 is: 2,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.71 : 2,661.93 = 1,536.48 : x
  2. Step 2: Convert to fraction form
    1,927.71/2,661.93 = 1,536.48/x
  3. Step 3: Cross multiply
    1,927.71x = 2,661.93 × 1,536.48
  4. Step 4: Simplify right side
    1,927.71x = 4,090,002.21
  5. Step 5: Solve for x
    x = 4,090,002.21/1,927.71
  6. Step 6: Final answer
    x = 2,121.69

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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.