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Finding the Fourth Proportional to 1,923.87, 2,655.29 and 1,836.23

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Solution

The fourth proportional to 1,923.87, 2,655.29 and 1,836.23 is: 2,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.87 : 2,655.29 = 1,836.23 : x
  2. Step 2: Convert to fraction form
    1,923.87/2,655.29 = 1,836.23/x
  3. Step 3: Cross multiply
    1,923.87x = 2,655.29 × 1,836.23
  4. Step 4: Simplify right side
    1,923.87x = 4,875,700.70
  5. Step 5: Solve for x
    x = 4,875,700.70/1,923.87
  6. Step 6: Final answer
    x = 2,534.32

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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.