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Finding the Fourth Proportional to 1,805.60, 2,703.40 and 926.20

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Solution

The fourth proportional to 1,805.60, 2,703.40 and 926.20 is: 1,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.60 : 2,703.40 = 926.20 : x
  2. Step 2: Convert to fraction form
    1,805.60/2,703.40 = 926.20/x
  3. Step 3: Cross multiply
    1,805.60x = 2,703.40 × 926.20
  4. Step 4: Simplify right side
    1,805.60x = 2,503,884.45
  5. Step 5: Solve for x
    x = 2,503,884.45/1,805.60
  6. Step 6: Final answer
    x = 1,386.74

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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.