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Finding the Fourth Proportional to 1,931.73, 2,897.01 and 632.90

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Solution

The fourth proportional to 1,931.73, 2,897.01 and 632.90 is: 949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.73 : 2,897.01 = 632.90 : x
  2. Step 2: Convert to fraction form
    1,931.73/2,897.01 = 632.90/x
  3. Step 3: Cross multiply
    1,931.73x = 2,897.01 × 632.90
  4. Step 4: Simplify right side
    1,931.73x = 1,833,503.14
  5. Step 5: Solve for x
    x = 1,833,503.14/1,931.73
  6. Step 6: Final answer
    x = 949.15

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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.