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Finding the Fourth Proportional to 2,877.76, 4,313.74 and 1,121.67

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Solution

The fourth proportional to 2,877.76, 4,313.74 and 1,121.67 is: 1,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.76 : 4,313.74 = 1,121.67 : x
  2. Step 2: Convert to fraction form
    2,877.76/4,313.74 = 1,121.67/x
  3. Step 3: Cross multiply
    2,877.76x = 4,313.74 × 1,121.67
  4. Step 4: Simplify right side
    2,877.76x = 4,838,592.75
  5. Step 5: Solve for x
    x = 4,838,592.75/2,877.76
  6. Step 6: Final answer
    x = 1,681.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.