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Finding the Fourth Proportional to 1,730.87, 2,385.86 and 1,415.58

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Solution

The fourth proportional to 1,730.87, 2,385.86 and 1,415.58 is: 1,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.87 : 2,385.86 = 1,415.58 : x
  2. Step 2: Convert to fraction form
    1,730.87/2,385.86 = 1,415.58/x
  3. Step 3: Cross multiply
    1,730.87x = 2,385.86 × 1,415.58
  4. Step 4: Simplify right side
    1,730.87x = 3,377,359.67
  5. Step 5: Solve for x
    x = 3,377,359.67/1,730.87
  6. Step 6: Final answer
    x = 1,951.25

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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.