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Finding the Fourth Proportional to 2,309.74, 3,461.72 and 1,820.86

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Solution

The fourth proportional to 2,309.74, 3,461.72 and 1,820.86 is: 2,729.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.74 : 3,461.72 = 1,820.86 : x
  2. Step 2: Convert to fraction form
    2,309.74/3,461.72 = 1,820.86/x
  3. Step 3: Cross multiply
    2,309.74x = 3,461.72 × 1,820.86
  4. Step 4: Simplify right side
    2,309.74x = 6,303,307.48
  5. Step 5: Solve for x
    x = 6,303,307.48/2,309.74
  6. Step 6: Final answer
    x = 2,729.01

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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.