Home / 1,984.04-2,973.10-1,497.42

Finding the Fourth Proportional to 1,984.04, 2,973.10 and 1,497.42

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Solution

The fourth proportional to 1,984.04, 2,973.10 and 1,497.42 is: 2,243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.04 : 2,973.10 = 1,497.42 : x
  2. Step 2: Convert to fraction form
    1,984.04/2,973.10 = 1,497.42/x
  3. Step 3: Cross multiply
    1,984.04x = 2,973.10 × 1,497.42
  4. Step 4: Simplify right side
    1,984.04x = 4,451,979.40
  5. Step 5: Solve for x
    x = 4,451,979.40/1,984.04
  6. Step 6: Final answer
    x = 2,243.90

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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.