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Finding the Fourth Proportional to 2,502.46, 3,746.40 and 1,759.51

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Solution

The fourth proportional to 2,502.46, 3,746.40 and 1,759.51 is: 2,634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.46 : 3,746.40 = 1,759.51 : x
  2. Step 2: Convert to fraction form
    2,502.46/3,746.40 = 1,759.51/x
  3. Step 3: Cross multiply
    2,502.46x = 3,746.40 × 1,759.51
  4. Step 4: Simplify right side
    2,502.46x = 6,591,828.26
  5. Step 5: Solve for x
    x = 6,591,828.26/2,502.46
  6. Step 6: Final answer
    x = 2,634.14

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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.