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Finding the Fourth Proportional to 1,728.86, 2,602.51 and 1,550.25

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Solution

The fourth proportional to 1,728.86, 2,602.51 and 1,550.25 is: 2,333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.86 : 2,602.51 = 1,550.25 : x
  2. Step 2: Convert to fraction form
    1,728.86/2,602.51 = 1,550.25/x
  3. Step 3: Cross multiply
    1,728.86x = 2,602.51 × 1,550.25
  4. Step 4: Simplify right side
    1,728.86x = 4,034,537.25
  5. Step 5: Solve for x
    x = 4,034,537.25/1,728.86
  6. Step 6: Final answer
    x = 2,333.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.