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Finding the Fourth Proportional to 2,263.84, 3,397.10 and 1,031.22

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Solution

The fourth proportional to 2,263.84, 3,397.10 and 1,031.22 is: 1,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.84 : 3,397.10 = 1,031.22 : x
  2. Step 2: Convert to fraction form
    2,263.84/3,397.10 = 1,031.22/x
  3. Step 3: Cross multiply
    2,263.84x = 3,397.10 × 1,031.22
  4. Step 4: Simplify right side
    2,263.84x = 3,503,157.46
  5. Step 5: Solve for x
    x = 3,503,157.46/2,263.84
  6. Step 6: Final answer
    x = 1,547.44

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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.