Home / 1,585.32-2,188.34-1,419.23

Finding the Fourth Proportional to 1,585.32, 2,188.34 and 1,419.23

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Solution

The fourth proportional to 1,585.32, 2,188.34 and 1,419.23 is: 1,959.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.32 : 2,188.34 = 1,419.23 : x
  2. Step 2: Convert to fraction form
    1,585.32/2,188.34 = 1,419.23/x
  3. Step 3: Cross multiply
    1,585.32x = 2,188.34 × 1,419.23
  4. Step 4: Simplify right side
    1,585.32x = 3,105,750.68
  5. Step 5: Solve for x
    x = 3,105,750.68/1,585.32
  6. Step 6: Final answer
    x = 1,959.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.