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Finding the Fourth Proportional to 2,123.73, 2,933.30 and 1,857.50

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Solution

The fourth proportional to 2,123.73, 2,933.30 and 1,857.50 is: 2,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.73 : 2,933.30 = 1,857.50 : x
  2. Step 2: Convert to fraction form
    2,123.73/2,933.30 = 1,857.50/x
  3. Step 3: Cross multiply
    2,123.73x = 2,933.30 × 1,857.50
  4. Step 4: Simplify right side
    2,123.73x = 5,448,580.80
  5. Step 5: Solve for x
    x = 5,448,580.80/2,123.73
  6. Step 6: Final answer
    x = 2,565.57

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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.