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Finding the Fourth Proportional to 2,808.40, 3,875.56 and 1,566.40

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Solution

The fourth proportional to 2,808.40, 3,875.56 and 1,566.40 is: 2,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.40 : 3,875.56 = 1,566.40 : x
  2. Step 2: Convert to fraction form
    2,808.40/3,875.56 = 1,566.40/x
  3. Step 3: Cross multiply
    2,808.40x = 3,875.56 × 1,566.40
  4. Step 4: Simplify right side
    2,808.40x = 6,070,677.18
  5. Step 5: Solve for x
    x = 6,070,677.18/2,808.40
  6. Step 6: Final answer
    x = 2,161.61

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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.