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Finding the Fourth Proportional to 1,599.07, 2,206.71 and 935.79

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Solution

The fourth proportional to 1,599.07, 2,206.71 and 935.79 is: 1,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.07 : 2,206.71 = 935.79 : x
  2. Step 2: Convert to fraction form
    1,599.07/2,206.71 = 935.79/x
  3. Step 3: Cross multiply
    1,599.07x = 2,206.71 × 935.79
  4. Step 4: Simplify right side
    1,599.07x = 2,065,017.15
  5. Step 5: Solve for x
    x = 2,065,017.15/1,599.07
  6. Step 6: Final answer
    x = 1,291.39

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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.