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Finding the Fourth Proportional to 2,118.69, 2,923.16 and 1,371.47

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Solution

The fourth proportional to 2,118.69, 2,923.16 and 1,371.47 is: 1,892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.69 : 2,923.16 = 1,371.47 : x
  2. Step 2: Convert to fraction form
    2,118.69/2,923.16 = 1,371.47/x
  3. Step 3: Cross multiply
    2,118.69x = 2,923.16 × 1,371.47
  4. Step 4: Simplify right side
    2,118.69x = 4,009,004.77
  5. Step 5: Solve for x
    x = 4,009,004.77/2,118.69
  6. Step 6: Final answer
    x = 1,892.21

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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.