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Finding the Fourth Proportional to 2,283.35, 3,424.90 and 1,406.02

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Solution

The fourth proportional to 2,283.35, 3,424.90 and 1,406.02 is: 2,108.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.35 : 3,424.90 = 1,406.02 : x
  2. Step 2: Convert to fraction form
    2,283.35/3,424.90 = 1,406.02/x
  3. Step 3: Cross multiply
    2,283.35x = 3,424.90 × 1,406.02
  4. Step 4: Simplify right side
    2,283.35x = 4,815,465.82
  5. Step 5: Solve for x
    x = 4,815,465.82/2,283.35
  6. Step 6: Final answer
    x = 2,108.95

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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.