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Finding the Fourth Proportional to 1,277.72, 1,927.19 and 1,125.55

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Solution

The fourth proportional to 1,277.72, 1,927.19 and 1,125.55 is: 1,697.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.72 : 1,927.19 = 1,125.55 : x
  2. Step 2: Convert to fraction form
    1,277.72/1,927.19 = 1,125.55/x
  3. Step 3: Cross multiply
    1,277.72x = 1,927.19 × 1,125.55
  4. Step 4: Simplify right side
    1,277.72x = 2,169,148.70
  5. Step 5: Solve for x
    x = 2,169,148.70/1,277.72
  6. Step 6: Final answer
    x = 1,697.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.