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Finding the Fourth Proportional to 3,271.74, 4,904.54 and 1,955.86

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Solution

The fourth proportional to 3,271.74, 4,904.54 and 1,955.86 is: 2,931.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.74 : 4,904.54 = 1,955.86 : x
  2. Step 2: Convert to fraction form
    3,271.74/4,904.54 = 1,955.86/x
  3. Step 3: Cross multiply
    3,271.74x = 4,904.54 × 1,955.86
  4. Step 4: Simplify right side
    3,271.74x = 9,592,593.60
  5. Step 5: Solve for x
    x = 9,592,593.60/3,271.74
  6. Step 6: Final answer
    x = 2,931.95

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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.