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Finding the Fourth Proportional to 1,710.35, 2,562.17 and 889.16

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Solution

The fourth proportional to 1,710.35, 2,562.17 and 889.16 is: 1,331.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.35 : 2,562.17 = 889.16 : x
  2. Step 2: Convert to fraction form
    1,710.35/2,562.17 = 889.16/x
  3. Step 3: Cross multiply
    1,710.35x = 2,562.17 × 889.16
  4. Step 4: Simplify right side
    1,710.35x = 2,278,161.82
  5. Step 5: Solve for x
    x = 2,278,161.82/1,710.35
  6. Step 6: Final answer
    x = 1,331.99

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1.5x scale

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.