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Finding the Fourth Proportional to 1,598.82, 2,206.08 and 935.52

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Solution

The fourth proportional to 1,598.82, 2,206.08 and 935.52 is: 1,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.82 : 2,206.08 = 935.52 : x
  2. Step 2: Convert to fraction form
    1,598.82/2,206.08 = 935.52/x
  3. Step 3: Cross multiply
    1,598.82x = 2,206.08 × 935.52
  4. Step 4: Simplify right side
    1,598.82x = 2,063,831.96
  5. Step 5: Solve for x
    x = 2,063,831.96/1,598.82
  6. Step 6: Final answer
    x = 1,290.85

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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.