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Finding the Fourth Proportional to 1,851.64, 2,777.44 and 553.12

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Solution

The fourth proportional to 1,851.64, 2,777.44 and 553.12 is: 829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.64 : 2,777.44 = 553.12 : x
  2. Step 2: Convert to fraction form
    1,851.64/2,777.44 = 553.12/x
  3. Step 3: Cross multiply
    1,851.64x = 2,777.44 × 553.12
  4. Step 4: Simplify right side
    1,851.64x = 1,536,257.61
  5. Step 5: Solve for x
    x = 1,536,257.61/1,851.64
  6. Step 6: Final answer
    x = 829.67

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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.