Home / 1,580.34-2,367.88-962.17

Finding the Fourth Proportional to 1,580.34, 2,367.88 and 962.17

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Solution

The fourth proportional to 1,580.34, 2,367.88 and 962.17 is: 1,441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.34 : 2,367.88 = 962.17 : x
  2. Step 2: Convert to fraction form
    1,580.34/2,367.88 = 962.17/x
  3. Step 3: Cross multiply
    1,580.34x = 2,367.88 × 962.17
  4. Step 4: Simplify right side
    1,580.34x = 2,278,303.10
  5. Step 5: Solve for x
    x = 2,278,303.10/1,580.34
  6. Step 6: Final answer
    x = 1,441.65

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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.