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Finding the Fourth Proportional to 2,739.72, 3,783.06 and 1,855.20

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Solution

The fourth proportional to 2,739.72, 3,783.06 and 1,855.20 is: 2,561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.72 : 3,783.06 = 1,855.20 : x
  2. Step 2: Convert to fraction form
    2,739.72/3,783.06 = 1,855.20/x
  3. Step 3: Cross multiply
    2,739.72x = 3,783.06 × 1,855.20
  4. Step 4: Simplify right side
    2,739.72x = 7,018,332.91
  5. Step 5: Solve for x
    x = 7,018,332.91/2,739.72
  6. Step 6: Final answer
    x = 2,561.70

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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.