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Finding the Fourth Proportional to 2,284.35, 3,426.93 and 897.77

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Solution

The fourth proportional to 2,284.35, 3,426.93 and 897.77 is: 1,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.35 : 3,426.93 = 897.77 : x
  2. Step 2: Convert to fraction form
    2,284.35/3,426.93 = 897.77/x
  3. Step 3: Cross multiply
    2,284.35x = 3,426.93 × 897.77
  4. Step 4: Simplify right side
    2,284.35x = 3,076,577.81
  5. Step 5: Solve for x
    x = 3,076,577.81/2,284.35
  6. Step 6: Final answer
    x = 1,346.81

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