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Finding the Fourth Proportional to 1,598.96, 2,206.56 and 936

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Solution

The fourth proportional to 1,598.96, 2,206.56 and 936 is: 1,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.96 : 2,206.56 = 936 : x
  2. Step 2: Convert to fraction form
    1,598.96/2,206.56 = 936/x
  3. Step 3: Cross multiply
    1,598.96x = 2,206.56 × 936
  4. Step 4: Simplify right side
    1,598.96x = 2,065,340.16
  5. Step 5: Solve for x
    x = 2,065,340.16/1,598.96
  6. Step 6: Final answer
    x = 1,291.68

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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.