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Finding the Fourth Proportional to 2,275.49, 3,140.48 and 1,489.99

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Solution

The fourth proportional to 2,275.49, 3,140.48 and 1,489.99 is: 2,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.49 : 3,140.48 = 1,489.99 : x
  2. Step 2: Convert to fraction form
    2,275.49/3,140.48 = 1,489.99/x
  3. Step 3: Cross multiply
    2,275.49x = 3,140.48 × 1,489.99
  4. Step 4: Simplify right side
    2,275.49x = 4,679,260.64
  5. Step 5: Solve for x
    x = 4,679,260.64/2,275.49
  6. Step 6: Final answer
    x = 2,056.38

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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.