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Finding the Fourth Proportional to 1,596.17, 2,201.90 and 1,036.95

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Solution

The fourth proportional to 1,596.17, 2,201.90 and 1,036.95 is: 1,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.17 : 2,201.90 = 1,036.95 : x
  2. Step 2: Convert to fraction form
    1,596.17/2,201.90 = 1,036.95/x
  3. Step 3: Cross multiply
    1,596.17x = 2,201.90 × 1,036.95
  4. Step 4: Simplify right side
    1,596.17x = 2,283,260.21
  5. Step 5: Solve for x
    x = 2,283,260.21/1,596.17
  6. Step 6: Final answer
    x = 1,430.47

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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.