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Finding the Fourth Proportional to 1,672.98, 2,307.18 and 1,105.57

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Solution

The fourth proportional to 1,672.98, 2,307.18 and 1,105.57 is: 1,524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.98 : 2,307.18 = 1,105.57 : x
  2. Step 2: Convert to fraction form
    1,672.98/2,307.18 = 1,105.57/x
  3. Step 3: Cross multiply
    1,672.98x = 2,307.18 × 1,105.57
  4. Step 4: Simplify right side
    1,672.98x = 2,550,748.99
  5. Step 5: Solve for x
    x = 2,550,748.99/1,672.98
  6. Step 6: Final answer
    x = 1,524.67

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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.