Home / 1,953.12-2,929.47-492.18

Finding the Fourth Proportional to 1,953.12, 2,929.47 and 492.18

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Solution

The fourth proportional to 1,953.12, 2,929.47 and 492.18 is: 738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.12 : 2,929.47 = 492.18 : x
  2. Step 2: Convert to fraction form
    1,953.12/2,929.47 = 492.18/x
  3. Step 3: Cross multiply
    1,953.12x = 2,929.47 × 492.18
  4. Step 4: Simplify right side
    1,953.12x = 1,441,826.54
  5. Step 5: Solve for x
    x = 1,441,826.54/1,953.12
  6. Step 6: Final answer
    x = 738.22

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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.