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Finding the Fourth Proportional to 1,661.41, 2,292.69 and 905.21

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Solution

The fourth proportional to 1,661.41, 2,292.69 and 905.21 is: 1,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.41 : 2,292.69 = 905.21 : x
  2. Step 2: Convert to fraction form
    1,661.41/2,292.69 = 905.21/x
  3. Step 3: Cross multiply
    1,661.41x = 2,292.69 × 905.21
  4. Step 4: Simplify right side
    1,661.41x = 2,075,354.45
  5. Step 5: Solve for x
    x = 2,075,354.45/1,661.41
  6. Step 6: Final answer
    x = 1,249.16

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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.