Home / 1,897.20-2,847.02-922.77

Finding the Fourth Proportional to 1,897.20, 2,847.02 and 922.77

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Solution

The fourth proportional to 1,897.20, 2,847.02 and 922.77 is: 1,384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.20 : 2,847.02 = 922.77 : x
  2. Step 2: Convert to fraction form
    1,897.20/2,847.02 = 922.77/x
  3. Step 3: Cross multiply
    1,897.20x = 2,847.02 × 922.77
  4. Step 4: Simplify right side
    1,897.20x = 2,627,140.03
  5. Step 5: Solve for x
    x = 2,627,140.03/1,897.20
  6. Step 6: Final answer
    x = 1,384.75

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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.