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Finding the Fourth Proportional to 1,866.15, 2,799.20 and 756.08

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Solution

The fourth proportional to 1,866.15, 2,799.20 and 756.08 is: 1,134.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.15 : 2,799.20 = 756.08 : x
  2. Step 2: Convert to fraction form
    1,866.15/2,799.20 = 756.08/x
  3. Step 3: Cross multiply
    1,866.15x = 2,799.20 × 756.08
  4. Step 4: Simplify right side
    1,866.15x = 2,116,401.36
  5. Step 5: Solve for x
    x = 2,116,401.36/1,866.15
  6. Step 6: Final answer
    x = 1,134.10

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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.