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Finding the Fourth Proportional to 1,594.50, 2,201.67 and 1,264.65

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Solution

The fourth proportional to 1,594.50, 2,201.67 and 1,264.65 is: 1,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.50 : 2,201.67 = 1,264.65 : x
  2. Step 2: Convert to fraction form
    1,594.50/2,201.67 = 1,264.65/x
  3. Step 3: Cross multiply
    1,594.50x = 2,201.67 × 1,264.65
  4. Step 4: Simplify right side
    1,594.50x = 2,784,341.97
  5. Step 5: Solve for x
    x = 2,784,341.97/1,594.50
  6. Step 6: Final answer
    x = 1,746.22

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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.