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Finding the Fourth Proportional to 1,746.73, 2,618.48 and 924.31

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Solution

The fourth proportional to 1,746.73, 2,618.48 and 924.31 is: 1,385.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.73 : 2,618.48 = 924.31 : x
  2. Step 2: Convert to fraction form
    1,746.73/2,618.48 = 924.31/x
  3. Step 3: Cross multiply
    1,746.73x = 2,618.48 × 924.31
  4. Step 4: Simplify right side
    1,746.73x = 2,420,282.63
  5. Step 5: Solve for x
    x = 2,420,282.63/1,746.73
  6. Step 6: Final answer
    x = 1,385.61

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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.