Home / 1,427.66-2,140.46-964.29

Finding the Fourth Proportional to 1,427.66, 2,140.46 and 964.29

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Solution

The fourth proportional to 1,427.66, 2,140.46 and 964.29 is: 1,445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.66 : 2,140.46 = 964.29 : x
  2. Step 2: Convert to fraction form
    1,427.66/2,140.46 = 964.29/x
  3. Step 3: Cross multiply
    1,427.66x = 2,140.46 × 964.29
  4. Step 4: Simplify right side
    1,427.66x = 2,064,027.11
  5. Step 5: Solve for x
    x = 2,064,027.11/1,427.66
  6. Step 6: Final answer
    x = 1,445.74

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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.