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Finding the Fourth Proportional to 2,378.99, 3,282.45 and 1,434.53

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Solution

The fourth proportional to 2,378.99, 3,282.45 and 1,434.53 is: 1,979.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.99 : 3,282.45 = 1,434.53 : x
  2. Step 2: Convert to fraction form
    2,378.99/3,282.45 = 1,434.53/x
  3. Step 3: Cross multiply
    2,378.99x = 3,282.45 × 1,434.53
  4. Step 4: Simplify right side
    2,378.99x = 4,708,773.00
  5. Step 5: Solve for x
    x = 4,708,773.00/2,378.99
  6. Step 6: Final answer
    x = 1,979.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.