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Finding the Fourth Proportional to 3,409.04, 4,703.64 and 2,288

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Solution

The fourth proportional to 3,409.04, 4,703.64 and 2,288 is: 3,156.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.04 : 4,703.64 = 2,288 : x
  2. Step 2: Convert to fraction form
    3,409.04/4,703.64 = 2,288/x
  3. Step 3: Cross multiply
    3,409.04x = 4,703.64 × 2,288
  4. Step 4: Simplify right side
    3,409.04x = 10,761,928.32
  5. Step 5: Solve for x
    x = 10,761,928.32/3,409.04
  6. Step 6: Final answer
    x = 3,156.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.