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Finding the Fourth Proportional to 2,104.43, 2,904.32 and 1,265.40

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Solution

The fourth proportional to 2,104.43, 2,904.32 and 1,265.40 is: 1,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.43 : 2,904.32 = 1,265.40 : x
  2. Step 2: Convert to fraction form
    2,104.43/2,904.32 = 1,265.40/x
  3. Step 3: Cross multiply
    2,104.43x = 2,904.32 × 1,265.40
  4. Step 4: Simplify right side
    2,104.43x = 3,675,129.69
  5. Step 5: Solve for x
    x = 3,675,129.69/2,104.43
  6. Step 6: Final answer
    x = 1,746.38

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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.