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Finding the Fourth Proportional to 2,104.64, 2,902.40 and 1,433.92

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Solution

The fourth proportional to 2,104.64, 2,902.40 and 1,433.92 is: 1,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.64 : 2,902.40 = 1,433.92 : x
  2. Step 2: Convert to fraction form
    2,104.64/2,902.40 = 1,433.92/x
  3. Step 3: Cross multiply
    2,104.64x = 2,902.40 × 1,433.92
  4. Step 4: Simplify right side
    2,104.64x = 4,161,809.41
  5. Step 5: Solve for x
    x = 4,161,809.41/2,104.64
  6. Step 6: Final answer
    x = 1,977.44

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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.