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Finding the Fourth Proportional to 3,088.94, 4,634.16 and 897.68

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Solution

The fourth proportional to 3,088.94, 4,634.16 and 897.68 is: 1,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,088.94 : 4,634.16 = 897.68 : x
  2. Step 2: Convert to fraction form
    3,088.94/4,634.16 = 897.68/x
  3. Step 3: Cross multiply
    3,088.94x = 4,634.16 × 897.68
  4. Step 4: Simplify right side
    3,088.94x = 4,160,006.02
  5. Step 5: Solve for x
    x = 4,160,006.02/3,088.94
  6. Step 6: Final answer
    x = 1,346.74

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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.