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Finding the Fourth Proportional to 2,373.06, 3,559.61 and 2,194.50

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Solution

The fourth proportional to 2,373.06, 3,559.61 and 2,194.50 is: 3,291.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.06 : 3,559.61 = 2,194.50 : x
  2. Step 2: Convert to fraction form
    2,373.06/3,559.61 = 2,194.50/x
  3. Step 3: Cross multiply
    2,373.06x = 3,559.61 × 2,194.50
  4. Step 4: Simplify right side
    2,373.06x = 7,811,564.15
  5. Step 5: Solve for x
    x = 7,811,564.15/2,373.06
  6. Step 6: Final answer
    x = 3,291.77

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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.