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Finding the Fourth Proportional to 2,585.37, 3,875.73 and 940.76

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Solution

The fourth proportional to 2,585.37, 3,875.73 and 940.76 is: 1,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.37 : 3,875.73 = 940.76 : x
  2. Step 2: Convert to fraction form
    2,585.37/3,875.73 = 940.76/x
  3. Step 3: Cross multiply
    2,585.37x = 3,875.73 × 940.76
  4. Step 4: Simplify right side
    2,585.37x = 3,646,123.38
  5. Step 5: Solve for x
    x = 3,646,123.38/2,585.37
  6. Step 6: Final answer
    x = 1,410.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.