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Finding the Fourth Proportional to 1,665.16, 2,297.87 and 919.11

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Solution

The fourth proportional to 1,665.16, 2,297.87 and 919.11 is: 1,268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.16 : 2,297.87 = 919.11 : x
  2. Step 2: Convert to fraction form
    1,665.16/2,297.87 = 919.11/x
  3. Step 3: Cross multiply
    1,665.16x = 2,297.87 × 919.11
  4. Step 4: Simplify right side
    1,665.16x = 2,112,002.76
  5. Step 5: Solve for x
    x = 2,112,002.76/1,665.16
  6. Step 6: Final answer
    x = 1,268.35

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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.