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Finding the Fourth Proportional to 2,347.76, 3,512.83 and 1,407.25

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Solution

The fourth proportional to 2,347.76, 3,512.83 and 1,407.25 is: 2,105.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.76 : 3,512.83 = 1,407.25 : x
  2. Step 2: Convert to fraction form
    2,347.76/3,512.83 = 1,407.25/x
  3. Step 3: Cross multiply
    2,347.76x = 3,512.83 × 1,407.25
  4. Step 4: Simplify right side
    2,347.76x = 4,943,430.02
  5. Step 5: Solve for x
    x = 4,943,430.02/2,347.76
  6. Step 6: Final answer
    x = 2,105.59

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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.