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Finding the Fourth Proportional to 1,677.85, 2,515.56 and 1,128.67

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Solution

The fourth proportional to 1,677.85, 2,515.56 and 1,128.67 is: 1,692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.85 : 2,515.56 = 1,128.67 : x
  2. Step 2: Convert to fraction form
    1,677.85/2,515.56 = 1,128.67/x
  3. Step 3: Cross multiply
    1,677.85x = 2,515.56 × 1,128.67
  4. Step 4: Simplify right side
    1,677.85x = 2,839,237.11
  5. Step 5: Solve for x
    x = 2,839,237.11/1,677.85
  6. Step 6: Final answer
    x = 1,692.19

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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.