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Finding the Fourth Proportional to 3,088.62, 4,633.65 and 897.28

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Solution

The fourth proportional to 3,088.62, 4,633.65 and 897.28 is: 1,346.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,088.62 : 4,633.65 = 897.28 : x
  2. Step 2: Convert to fraction form
    3,088.62/4,633.65 = 897.28/x
  3. Step 3: Cross multiply
    3,088.62x = 4,633.65 × 897.28
  4. Step 4: Simplify right side
    3,088.62x = 4,157,653.82
  5. Step 5: Solve for x
    x = 4,157,653.82/3,088.62
  6. Step 6: Final answer
    x = 1,346.12

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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.