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Finding the Fourth Proportional to 3,047, 4,204.86 and 1,649.76

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Solution

The fourth proportional to 3,047, 4,204.86 and 1,649.76 is: 2,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047 : 4,204.86 = 1,649.76 : x
  2. Step 2: Convert to fraction form
    3,047/4,204.86 = 1,649.76/x
  3. Step 3: Cross multiply
    3,047x = 4,204.86 × 1,649.76
  4. Step 4: Simplify right side
    3,047x = 6,937,009.83
  5. Step 5: Solve for x
    x = 6,937,009.83/3,047
  6. Step 6: Final answer
    x = 2,276.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.