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Finding the Fourth Proportional to 2,808.28, 3,875.46 and 1,566.28

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Solution

The fourth proportional to 2,808.28, 3,875.46 and 1,566.28 is: 2,161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.28 : 3,875.46 = 1,566.28 : x
  2. Step 2: Convert to fraction form
    2,808.28/3,875.46 = 1,566.28/x
  3. Step 3: Cross multiply
    2,808.28x = 3,875.46 × 1,566.28
  4. Step 4: Simplify right side
    2,808.28x = 6,070,055.49
  5. Step 5: Solve for x
    x = 6,070,055.49/2,808.28
  6. Step 6: Final answer
    x = 2,161.49

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