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Finding the Fourth Proportional to 1,665.16, 2,298 and 919.20

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Solution

The fourth proportional to 1,665.16, 2,298 and 919.20 is: 1,268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.16 : 2,298 = 919.20 : x
  2. Step 2: Convert to fraction form
    1,665.16/2,298 = 919.20/x
  3. Step 3: Cross multiply
    1,665.16x = 2,298 × 919.20
  4. Step 4: Simplify right side
    1,665.16x = 2,112,321.60
  5. Step 5: Solve for x
    x = 2,112,321.60/1,665.16
  6. Step 6: Final answer
    x = 1,268.54

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Why These Related Problems?

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