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Finding the Fourth Proportional to 1,931.31, 2,897.64 and 632.88

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Solution

The fourth proportional to 1,931.31, 2,897.64 and 632.88 is: 949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.31 : 2,897.64 = 632.88 : x
  2. Step 2: Convert to fraction form
    1,931.31/2,897.64 = 632.88/x
  3. Step 3: Cross multiply
    1,931.31x = 2,897.64 × 632.88
  4. Step 4: Simplify right side
    1,931.31x = 1,833,858.40
  5. Step 5: Solve for x
    x = 1,833,858.40/1,931.31
  6. Step 6: Final answer
    x = 949.54

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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.