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Finding the Fourth Proportional to 2,296.29, 3,444.20 and 1,125.84

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Solution

The fourth proportional to 2,296.29, 3,444.20 and 1,125.84 is: 1,688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.29 : 3,444.20 = 1,125.84 : x
  2. Step 2: Convert to fraction form
    2,296.29/3,444.20 = 1,125.84/x
  3. Step 3: Cross multiply
    2,296.29x = 3,444.20 × 1,125.84
  4. Step 4: Simplify right side
    2,296.29x = 3,877,612.50
  5. Step 5: Solve for x
    x = 3,877,612.50/2,296.29
  6. Step 6: Final answer
    x = 1,688.64

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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.