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Finding the Fourth Proportional to 2,598.98, 3,901.71 and 1,730.66

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Solution

The fourth proportional to 2,598.98, 3,901.71 and 1,730.66 is: 2,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.98 : 3,901.71 = 1,730.66 : x
  2. Step 2: Convert to fraction form
    2,598.98/3,901.71 = 1,730.66/x
  3. Step 3: Cross multiply
    2,598.98x = 3,901.71 × 1,730.66
  4. Step 4: Simplify right side
    2,598.98x = 6,752,533.43
  5. Step 5: Solve for x
    x = 6,752,533.43/2,598.98
  6. Step 6: Final answer
    x = 2,598.15

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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.