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Finding the Fourth Proportional to 3,461.64, 5,188.14 and 1,730.76

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Solution

The fourth proportional to 3,461.64, 5,188.14 and 1,730.76 is: 2,593.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.64 : 5,188.14 = 1,730.76 : x
  2. Step 2: Convert to fraction form
    3,461.64/5,188.14 = 1,730.76/x
  3. Step 3: Cross multiply
    3,461.64x = 5,188.14 × 1,730.76
  4. Step 4: Simplify right side
    3,461.64x = 8,979,425.19
  5. Step 5: Solve for x
    x = 8,979,425.19/3,461.64
  6. Step 6: Final answer
    x = 2,593.98

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1.5x scale

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.