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Finding the Fourth Proportional to 1,933.50, 2,875.38 and 1,872

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Solution

The fourth proportional to 1,933.50, 2,875.38 and 1,872 is: 2,783.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.50 : 2,875.38 = 1,872 : x
  2. Step 2: Convert to fraction form
    1,933.50/2,875.38 = 1,872/x
  3. Step 3: Cross multiply
    1,933.50x = 2,875.38 × 1,872
  4. Step 4: Simplify right side
    1,933.50x = 5,382,711.36
  5. Step 5: Solve for x
    x = 5,382,711.36/1,933.50
  6. Step 6: Final answer
    x = 2,783.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.