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Finding the Fourth Proportional to 1,659.32, 2,289.39 and 1,070.20

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Solution

The fourth proportional to 1,659.32, 2,289.39 and 1,070.20 is: 1,476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.32 : 2,289.39 = 1,070.20 : x
  2. Step 2: Convert to fraction form
    1,659.32/2,289.39 = 1,070.20/x
  3. Step 3: Cross multiply
    1,659.32x = 2,289.39 × 1,070.20
  4. Step 4: Simplify right side
    1,659.32x = 2,450,105.18
  5. Step 5: Solve for x
    x = 2,450,105.18/1,659.32
  6. Step 6: Final answer
    x = 1,476.57

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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.