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Finding the Fourth Proportional to 3,130.77, 4,693.06 and 1,744.75

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Solution

The fourth proportional to 3,130.77, 4,693.06 and 1,744.75 is: 2,615.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.77 : 4,693.06 = 1,744.75 : x
  2. Step 2: Convert to fraction form
    3,130.77/4,693.06 = 1,744.75/x
  3. Step 3: Cross multiply
    3,130.77x = 4,693.06 × 1,744.75
  4. Step 4: Simplify right side
    3,130.77x = 8,188,223.81
  5. Step 5: Solve for x
    x = 8,188,223.81/3,130.77
  6. Step 6: Final answer
    x = 2,615.41

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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.