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Finding the Fourth Proportional to 1,935.38, 2,903.44 and 637.76

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Solution

The fourth proportional to 1,935.38, 2,903.44 and 637.76 is: 956.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.38 : 2,903.44 = 637.76 : x
  2. Step 2: Convert to fraction form
    1,935.38/2,903.44 = 637.76/x
  3. Step 3: Cross multiply
    1,935.38x = 2,903.44 × 637.76
  4. Step 4: Simplify right side
    1,935.38x = 1,851,697.89
  5. Step 5: Solve for x
    x = 1,851,697.89/1,935.38
  6. Step 6: Final answer
    x = 956.76

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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.