Home / 1,589.18-2,384.35-931.32

Finding the Fourth Proportional to 1,589.18, 2,384.35 and 931.32

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Solution

The fourth proportional to 1,589.18, 2,384.35 and 931.32 is: 1,397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.18 : 2,384.35 = 931.32 : x
  2. Step 2: Convert to fraction form
    1,589.18/2,384.35 = 931.32/x
  3. Step 3: Cross multiply
    1,589.18x = 2,384.35 × 931.32
  4. Step 4: Simplify right side
    1,589.18x = 2,220,590.51
  5. Step 5: Solve for x
    x = 2,220,590.51/1,589.18
  6. Step 6: Final answer
    x = 1,397.32

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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.