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Finding the Fourth Proportional to 2,323.88, 3,485.44 and 763.87

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Solution

The fourth proportional to 2,323.88, 3,485.44 and 763.87 is: 1,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.88 : 3,485.44 = 763.87 : x
  2. Step 2: Convert to fraction form
    2,323.88/3,485.44 = 763.87/x
  3. Step 3: Cross multiply
    2,323.88x = 3,485.44 × 763.87
  4. Step 4: Simplify right side
    2,323.88x = 2,662,401.81
  5. Step 5: Solve for x
    x = 2,662,401.81/2,323.88
  6. Step 6: Final answer
    x = 1,145.67

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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.