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Finding the Fourth Proportional to 1,747.04, 2,618.52 and 1,334.76

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Solution

The fourth proportional to 1,747.04, 2,618.52 and 1,334.76 is: 2,000.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.04 : 2,618.52 = 1,334.76 : x
  2. Step 2: Convert to fraction form
    1,747.04/2,618.52 = 1,334.76/x
  3. Step 3: Cross multiply
    1,747.04x = 2,618.52 × 1,334.76
  4. Step 4: Simplify right side
    1,747.04x = 3,495,095.76
  5. Step 5: Solve for x
    x = 3,495,095.76/1,747.04
  6. Step 6: Final answer
    x = 2,000.58

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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.