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Finding the Fourth Proportional to 1,598.52, 2,206.44 and 935.52

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Solution

The fourth proportional to 1,598.52, 2,206.44 and 935.52 is: 1,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.52 : 2,206.44 = 935.52 : x
  2. Step 2: Convert to fraction form
    1,598.52/2,206.44 = 935.52/x
  3. Step 3: Cross multiply
    1,598.52x = 2,206.44 × 935.52
  4. Step 4: Simplify right side
    1,598.52x = 2,064,168.75
  5. Step 5: Solve for x
    x = 2,064,168.75/1,598.52
  6. Step 6: Final answer
    x = 1,291.30

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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.