Home / 1,412.32-2,117.62-632.17

Finding the Fourth Proportional to 1,412.32, 2,117.62 and 632.17

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Solution

The fourth proportional to 1,412.32, 2,117.62 and 632.17 is: 947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.32 : 2,117.62 = 632.17 : x
  2. Step 2: Convert to fraction form
    1,412.32/2,117.62 = 632.17/x
  3. Step 3: Cross multiply
    1,412.32x = 2,117.62 × 632.17
  4. Step 4: Simplify right side
    1,412.32x = 1,338,692.67
  5. Step 5: Solve for x
    x = 1,338,692.67/1,412.32
  6. Step 6: Final answer
    x = 947.87

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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.