Home / 1,417.28-2,124.54-492.14

Finding the Fourth Proportional to 1,417.28, 2,124.54 and 492.14

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Solution

The fourth proportional to 1,417.28, 2,124.54 and 492.14 is: 737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.28 : 2,124.54 = 492.14 : x
  2. Step 2: Convert to fraction form
    1,417.28/2,124.54 = 492.14/x
  3. Step 3: Cross multiply
    1,417.28x = 2,124.54 × 492.14
  4. Step 4: Simplify right side
    1,417.28x = 1,045,576.43
  5. Step 5: Solve for x
    x = 1,045,576.43/1,417.28
  6. Step 6: Final answer
    x = 737.74

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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.