Home / 1,509.15-2,262.66-583.92

Finding the Fourth Proportional to 1,509.15, 2,262.66 and 583.92

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Solution

The fourth proportional to 1,509.15, 2,262.66 and 583.92 is: 875.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.15 : 2,262.66 = 583.92 : x
  2. Step 2: Convert to fraction form
    1,509.15/2,262.66 = 583.92/x
  3. Step 3: Cross multiply
    1,509.15x = 2,262.66 × 583.92
  4. Step 4: Simplify right side
    1,509.15x = 1,321,212.43
  5. Step 5: Solve for x
    x = 1,321,212.43/1,509.15
  6. Step 6: Final answer
    x = 875.47

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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.