Home / 1,984.96-2,975.08-1,496.40

Finding the Fourth Proportional to 1,984.96, 2,975.08 and 1,496.40

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Solution

The fourth proportional to 1,984.96, 2,975.08 and 1,496.40 is: 2,242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.96 : 2,975.08 = 1,496.40 : x
  2. Step 2: Convert to fraction form
    1,984.96/2,975.08 = 1,496.40/x
  3. Step 3: Cross multiply
    1,984.96x = 2,975.08 × 1,496.40
  4. Step 4: Simplify right side
    1,984.96x = 4,451,909.71
  5. Step 5: Solve for x
    x = 4,451,909.71/1,984.96
  6. Step 6: Final answer
    x = 2,242.82

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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.