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Finding the Fourth Proportional to 1,752.89, 2,418.99 and 966.94

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Solution

The fourth proportional to 1,752.89, 2,418.99 and 966.94 is: 1,334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.89 : 2,418.99 = 966.94 : x
  2. Step 2: Convert to fraction form
    1,752.89/2,418.99 = 966.94/x
  3. Step 3: Cross multiply
    1,752.89x = 2,418.99 × 966.94
  4. Step 4: Simplify right side
    1,752.89x = 2,339,015.77
  5. Step 5: Solve for x
    x = 2,339,015.77/1,752.89
  6. Step 6: Final answer
    x = 1,334.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.