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Finding the Fourth Proportional to 2,783.19, 4,174.77 and 703.19

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Solution

The fourth proportional to 2,783.19, 4,174.77 and 703.19 is: 1,054.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.19 : 4,174.77 = 703.19 : x
  2. Step 2: Convert to fraction form
    2,783.19/4,174.77 = 703.19/x
  3. Step 3: Cross multiply
    2,783.19x = 4,174.77 × 703.19
  4. Step 4: Simplify right side
    2,783.19x = 2,935,666.95
  5. Step 5: Solve for x
    x = 2,935,666.95/2,783.19
  6. Step 6: Final answer
    x = 1,054.78

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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.