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Finding the Fourth Proportional to 1,435.64, 2,162.33 and 1,366.52

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Solution

The fourth proportional to 1,435.64, 2,162.33 and 1,366.52 is: 2,058.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.64 : 2,162.33 = 1,366.52 : x
  2. Step 2: Convert to fraction form
    1,435.64/2,162.33 = 1,366.52/x
  3. Step 3: Cross multiply
    1,435.64x = 2,162.33 × 1,366.52
  4. Step 4: Simplify right side
    1,435.64x = 2,954,867.19
  5. Step 5: Solve for x
    x = 2,954,867.19/1,435.64
  6. Step 6: Final answer
    x = 2,058.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.