Home / 1,983.04-2,971.60-1,496.42

Finding the Fourth Proportional to 1,983.04, 2,971.60 and 1,496.42

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Solution

The fourth proportional to 1,983.04, 2,971.60 and 1,496.42 is: 2,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.04 : 2,971.60 = 1,496.42 : x
  2. Step 2: Convert to fraction form
    1,983.04/2,971.60 = 1,496.42/x
  3. Step 3: Cross multiply
    1,983.04x = 2,971.60 × 1,496.42
  4. Step 4: Simplify right side
    1,983.04x = 4,446,761.67
  5. Step 5: Solve for x
    x = 4,446,761.67/1,983.04
  6. Step 6: Final answer
    x = 2,242.40

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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.