Home / 1,585.09-2,378.67-719.41

Finding the Fourth Proportional to 1,585.09, 2,378.67 and 719.41

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Solution

The fourth proportional to 1,585.09, 2,378.67 and 719.41 is: 1,079.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.09 : 2,378.67 = 719.41 : x
  2. Step 2: Convert to fraction form
    1,585.09/2,378.67 = 719.41/x
  3. Step 3: Cross multiply
    1,585.09x = 2,378.67 × 719.41
  4. Step 4: Simplify right side
    1,585.09x = 1,711,238.98
  5. Step 5: Solve for x
    x = 1,711,238.98/1,585.09
  6. Step 6: Final answer
    x = 1,079.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.