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Finding the Fourth Proportional to 2,310.51, 3,188.51 and 1,262.57

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Solution

The fourth proportional to 2,310.51, 3,188.51 and 1,262.57 is: 1,742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.51 : 3,188.51 = 1,262.57 : x
  2. Step 2: Convert to fraction form
    2,310.51/3,188.51 = 1,262.57/x
  3. Step 3: Cross multiply
    2,310.51x = 3,188.51 × 1,262.57
  4. Step 4: Simplify right side
    2,310.51x = 4,025,717.07
  5. Step 5: Solve for x
    x = 4,025,717.07/2,310.51
  6. Step 6: Final answer
    x = 1,742.35

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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.