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Finding the Fourth Proportional to 2,777.76, 3,833.72 and 1,598.60

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Solution

The fourth proportional to 2,777.76, 3,833.72 and 1,598.60 is: 2,206.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.76 : 3,833.72 = 1,598.60 : x
  2. Step 2: Convert to fraction form
    2,777.76/3,833.72 = 1,598.60/x
  3. Step 3: Cross multiply
    2,777.76x = 3,833.72 × 1,598.60
  4. Step 4: Simplify right side
    2,777.76x = 6,128,588.79
  5. Step 5: Solve for x
    x = 6,128,588.79/2,777.76
  6. Step 6: Final answer
    x = 2,206.31

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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.