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Finding the Fourth Proportional to 2,869.60, 4,304.40 and 1,408.45

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Solution

The fourth proportional to 2,869.60, 4,304.40 and 1,408.45 is: 2,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.60 : 4,304.40 = 1,408.45 : x
  2. Step 2: Convert to fraction form
    2,869.60/4,304.40 = 1,408.45/x
  3. Step 3: Cross multiply
    2,869.60x = 4,304.40 × 1,408.45
  4. Step 4: Simplify right side
    2,869.60x = 6,062,532.18
  5. Step 5: Solve for x
    x = 6,062,532.18/2,869.60
  6. Step 6: Final answer
    x = 2,112.68

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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.