Home / 1,929.70-2,892.52-1,106.20

Finding the Fourth Proportional to 1,929.70, 2,892.52 and 1,106.20

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Solution

The fourth proportional to 1,929.70, 2,892.52 and 1,106.20 is: 1,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.70 : 2,892.52 = 1,106.20 : x
  2. Step 2: Convert to fraction form
    1,929.70/2,892.52 = 1,106.20/x
  3. Step 3: Cross multiply
    1,929.70x = 2,892.52 × 1,106.20
  4. Step 4: Simplify right side
    1,929.70x = 3,199,705.62
  5. Step 5: Solve for x
    x = 3,199,705.62/1,929.70
  6. Step 6: Final answer
    x = 1,658.14

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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.