Home / 1,402.28-2,102.14-632.36

Finding the Fourth Proportional to 1,402.28, 2,102.14 and 632.36

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Solution

The fourth proportional to 1,402.28, 2,102.14 and 632.36 is: 947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.28 : 2,102.14 = 632.36 : x
  2. Step 2: Convert to fraction form
    1,402.28/2,102.14 = 632.36/x
  3. Step 3: Cross multiply
    1,402.28x = 2,102.14 × 632.36
  4. Step 4: Simplify right side
    1,402.28x = 1,329,309.25
  5. Step 5: Solve for x
    x = 1,329,309.25/1,402.28
  6. Step 6: Final answer
    x = 947.96

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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.