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Finding the Fourth Proportional to 2,784.48, 3,842.76 and 1,605.76

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Solution

The fourth proportional to 2,784.48, 3,842.76 and 1,605.76 is: 2,216.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.48 : 3,842.76 = 1,605.76 : x
  2. Step 2: Convert to fraction form
    2,784.48/3,842.76 = 1,605.76/x
  3. Step 3: Cross multiply
    2,784.48x = 3,842.76 × 1,605.76
  4. Step 4: Simplify right side
    2,784.48x = 6,170,550.30
  5. Step 5: Solve for x
    x = 6,170,550.30/2,784.48
  6. Step 6: Final answer
    x = 2,216.05

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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.