Home / 1,424.31-2,137.47-904.71

Finding the Fourth Proportional to 1,424.31, 2,137.47 and 904.71

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Solution

The fourth proportional to 1,424.31, 2,137.47 and 904.71 is: 1,357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.31 : 2,137.47 = 904.71 : x
  2. Step 2: Convert to fraction form
    1,424.31/2,137.47 = 904.71/x
  3. Step 3: Cross multiply
    1,424.31x = 2,137.47 × 904.71
  4. Step 4: Simplify right side
    1,424.31x = 1,933,790.48
  5. Step 5: Solve for x
    x = 1,933,790.48/1,424.31
  6. Step 6: Final answer
    x = 1,357.70

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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.