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Finding the Fourth Proportional to 2,152.80, 3,223.72 and 1,805.20

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Solution

The fourth proportional to 2,152.80, 3,223.72 and 1,805.20 is: 2,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.80 : 3,223.72 = 1,805.20 : x
  2. Step 2: Convert to fraction form
    2,152.80/3,223.72 = 1,805.20/x
  3. Step 3: Cross multiply
    2,152.80x = 3,223.72 × 1,805.20
  4. Step 4: Simplify right side
    2,152.80x = 5,819,459.34
  5. Step 5: Solve for x
    x = 5,819,459.34/2,152.80
  6. Step 6: Final answer
    x = 2,703.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.