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Finding the Fourth Proportional to 1,931.02, 2,896.52 and 632.48

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Solution

The fourth proportional to 1,931.02, 2,896.52 and 632.48 is: 948.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.02 : 2,896.52 = 632.48 : x
  2. Step 2: Convert to fraction form
    1,931.02/2,896.52 = 632.48/x
  3. Step 3: Cross multiply
    1,931.02x = 2,896.52 × 632.48
  4. Step 4: Simplify right side
    1,931.02x = 1,831,990.97
  5. Step 5: Solve for x
    x = 1,831,990.97/1,931.02
  6. Step 6: Final answer
    x = 948.72

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Why These Related Problems?

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