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Finding the Fourth Proportional to 2,953.76, 4,076.58 and 1,711.76

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Solution

The fourth proportional to 2,953.76, 4,076.58 and 1,711.76 is: 2,362.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.76 : 4,076.58 = 1,711.76 : x
  2. Step 2: Convert to fraction form
    2,953.76/4,076.58 = 1,711.76/x
  3. Step 3: Cross multiply
    2,953.76x = 4,076.58 × 1,711.76
  4. Step 4: Simplify right side
    2,953.76x = 6,978,126.58
  5. Step 5: Solve for x
    x = 6,978,126.58/2,953.76
  6. Step 6: Final answer
    x = 2,362.46

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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.