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Finding the Fourth Proportional to 1,565.99, 2,161.04 and 857.81

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Solution

The fourth proportional to 1,565.99, 2,161.04 and 857.81 is: 1,183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.99 : 2,161.04 = 857.81 : x
  2. Step 2: Convert to fraction form
    1,565.99/2,161.04 = 857.81/x
  3. Step 3: Cross multiply
    1,565.99x = 2,161.04 × 857.81
  4. Step 4: Simplify right side
    1,565.99x = 1,853,762.84
  5. Step 5: Solve for x
    x = 1,853,762.84/1,565.99
  6. Step 6: Final answer
    x = 1,183.77

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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.