Home / 1,466.14-2,023.37-962.30

Finding the Fourth Proportional to 1,466.14, 2,023.37 and 962.30

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Solution

The fourth proportional to 1,466.14, 2,023.37 and 962.30 is: 1,328.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.14 : 2,023.37 = 962.30 : x
  2. Step 2: Convert to fraction form
    1,466.14/2,023.37 = 962.30/x
  3. Step 3: Cross multiply
    1,466.14x = 2,023.37 × 962.30
  4. Step 4: Simplify right side
    1,466.14x = 1,947,084.13
  5. Step 5: Solve for x
    x = 1,947,084.13/1,466.14
  6. Step 6: Final answer
    x = 1,328.03

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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.