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Finding the Fourth Proportional to 1,777.76, 2,453.27 and 1,031.79

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Solution

The fourth proportional to 1,777.76, 2,453.27 and 1,031.79 is: 1,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.76 : 2,453.27 = 1,031.79 : x
  2. Step 2: Convert to fraction form
    1,777.76/2,453.27 = 1,031.79/x
  3. Step 3: Cross multiply
    1,777.76x = 2,453.27 × 1,031.79
  4. Step 4: Simplify right side
    1,777.76x = 2,531,247.19
  5. Step 5: Solve for x
    x = 2,531,247.19/1,777.76
  6. Step 6: Final answer
    x = 1,423.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.