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Finding the Fourth Proportional to 2,373.64, 3,560.93 and 1,204.30

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Solution

The fourth proportional to 2,373.64, 3,560.93 and 1,204.30 is: 1,806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.64 : 3,560.93 = 1,204.30 : x
  2. Step 2: Convert to fraction form
    2,373.64/3,560.93 = 1,204.30/x
  3. Step 3: Cross multiply
    2,373.64x = 3,560.93 × 1,204.30
  4. Step 4: Simplify right side
    2,373.64x = 4,288,430.94
  5. Step 5: Solve for x
    x = 4,288,430.94/2,373.64
  6. Step 6: Final answer
    x = 1,806.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.