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Finding the Fourth Proportional to 1,931.37, 2,897.78 and 891.87

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Solution

The fourth proportional to 1,931.37, 2,897.78 and 891.87 is: 1,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.37 : 2,897.78 = 891.87 : x
  2. Step 2: Convert to fraction form
    1,931.37/2,897.78 = 891.87/x
  3. Step 3: Cross multiply
    1,931.37x = 2,897.78 × 891.87
  4. Step 4: Simplify right side
    1,931.37x = 2,584,438.59
  5. Step 5: Solve for x
    x = 2,584,438.59/1,931.37
  6. Step 6: Final answer
    x = 1,338.14

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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.