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Finding the Fourth Proportional to 2,196.76, 3,293.94 and 897.16

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Solution

The fourth proportional to 2,196.76, 3,293.94 and 897.16 is: 1,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.76 : 3,293.94 = 897.16 : x
  2. Step 2: Convert to fraction form
    2,196.76/3,293.94 = 897.16/x
  3. Step 3: Cross multiply
    2,196.76x = 3,293.94 × 897.16
  4. Step 4: Simplify right side
    2,196.76x = 2,955,191.21
  5. Step 5: Solve for x
    x = 2,955,191.21/2,196.76
  6. Step 6: Final answer
    x = 1,345.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.