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Finding the Fourth Proportional to 2,189.55, 3,285.65 and 956.94

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Solution

The fourth proportional to 2,189.55, 3,285.65 and 956.94 is: 1,435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.55 : 3,285.65 = 956.94 : x
  2. Step 2: Convert to fraction form
    2,189.55/3,285.65 = 956.94/x
  3. Step 3: Cross multiply
    2,189.55x = 3,285.65 × 956.94
  4. Step 4: Simplify right side
    2,189.55x = 3,144,169.91
  5. Step 5: Solve for x
    x = 3,144,169.91/2,189.55
  6. Step 6: Final answer
    x = 1,435.99

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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.