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Finding the Fourth Proportional to 1,931.12, 2,896.76 and 632.56

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Solution

The fourth proportional to 1,931.12, 2,896.76 and 632.56 is: 948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.12 : 2,896.76 = 632.56 : x
  2. Step 2: Convert to fraction form
    1,931.12/2,896.76 = 632.56/x
  3. Step 3: Cross multiply
    1,931.12x = 2,896.76 × 632.56
  4. Step 4: Simplify right side
    1,931.12x = 1,832,374.51
  5. Step 5: Solve for x
    x = 1,832,374.51/1,931.12
  6. Step 6: Final answer
    x = 948.87

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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.