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Finding the Fourth Proportional to 1,653.13, 2,478.39 and 1,424.71

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Solution

The fourth proportional to 1,653.13, 2,478.39 and 1,424.71 is: 2,135.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.13 : 2,478.39 = 1,424.71 : x
  2. Step 2: Convert to fraction form
    1,653.13/2,478.39 = 1,424.71/x
  3. Step 3: Cross multiply
    1,653.13x = 2,478.39 × 1,424.71
  4. Step 4: Simplify right side
    1,653.13x = 3,530,987.02
  5. Step 5: Solve for x
    x = 3,530,987.02/1,653.13
  6. Step 6: Final answer
    x = 2,135.94

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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.