Home / 1,591.60-2,196.40-928.50

Finding the Fourth Proportional to 1,591.60, 2,196.40 and 928.50

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Solution

The fourth proportional to 1,591.60, 2,196.40 and 928.50 is: 1,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.60 : 2,196.40 = 928.50 : x
  2. Step 2: Convert to fraction form
    1,591.60/2,196.40 = 928.50/x
  3. Step 3: Cross multiply
    1,591.60x = 2,196.40 × 928.50
  4. Step 4: Simplify right side
    1,591.60x = 2,039,357.40
  5. Step 5: Solve for x
    x = 2,039,357.40/1,591.60
  6. Step 6: Final answer
    x = 1,281.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.