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Finding the Fourth Proportional to 1,741.83, 2,612.45 and 864.05

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Solution

The fourth proportional to 1,741.83, 2,612.45 and 864.05 is: 1,295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.83 : 2,612.45 = 864.05 : x
  2. Step 2: Convert to fraction form
    1,741.83/2,612.45 = 864.05/x
  3. Step 3: Cross multiply
    1,741.83x = 2,612.45 × 864.05
  4. Step 4: Simplify right side
    1,741.83x = 2,257,270.04
  5. Step 5: Solve for x
    x = 2,257,270.04/1,741.83
  6. Step 6: Final answer
    x = 1,295.92

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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.