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Finding the Fourth Proportional to 1,730.76, 2,385.95 and 1,233.21

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Solution

The fourth proportional to 1,730.76, 2,385.95 and 1,233.21 is: 1,700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.76 : 2,385.95 = 1,233.21 : x
  2. Step 2: Convert to fraction form
    1,730.76/2,385.95 = 1,233.21/x
  3. Step 3: Cross multiply
    1,730.76x = 2,385.95 × 1,233.21
  4. Step 4: Simplify right side
    1,730.76x = 2,942,377.40
  5. Step 5: Solve for x
    x = 2,942,377.40/1,730.76
  6. Step 6: Final answer
    x = 1,700.05

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