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Finding the Fourth Proportional to 1,742.22, 2,612.49 and 1,011.99

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Solution

The fourth proportional to 1,742.22, 2,612.49 and 1,011.99 is: 1,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.22 : 2,612.49 = 1,011.99 : x
  2. Step 2: Convert to fraction form
    1,742.22/2,612.49 = 1,011.99/x
  3. Step 3: Cross multiply
    1,742.22x = 2,612.49 × 1,011.99
  4. Step 4: Simplify right side
    1,742.22x = 2,643,813.76
  5. Step 5: Solve for x
    x = 2,643,813.76/1,742.22
  6. Step 6: Final answer
    x = 1,517.50

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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.