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Finding the Fourth Proportional to 2,068.28, 3,102.42 and 897.32

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Solution

The fourth proportional to 2,068.28, 3,102.42 and 897.32 is: 1,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.28 : 3,102.42 = 897.32 : x
  2. Step 2: Convert to fraction form
    2,068.28/3,102.42 = 897.32/x
  3. Step 3: Cross multiply
    2,068.28x = 3,102.42 × 897.32
  4. Step 4: Simplify right side
    2,068.28x = 2,783,863.51
  5. Step 5: Solve for x
    x = 2,783,863.51/2,068.28
  6. Step 6: Final answer
    x = 1,345.98

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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.