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Finding the Fourth Proportional to 1,712.15, 2,566.67 and 889.46

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Solution

The fourth proportional to 1,712.15, 2,566.67 and 889.46 is: 1,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.15 : 2,566.67 = 889.46 : x
  2. Step 2: Convert to fraction form
    1,712.15/2,566.67 = 889.46/x
  3. Step 3: Cross multiply
    1,712.15x = 2,566.67 × 889.46
  4. Step 4: Simplify right side
    1,712.15x = 2,282,933.02
  5. Step 5: Solve for x
    x = 2,282,933.02/1,712.15
  6. Step 6: Final answer
    x = 1,333.38

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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.