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Finding the Fourth Proportional to 2,977.67, 4,465.94 and 1,128.18

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Solution

The fourth proportional to 2,977.67, 4,465.94 and 1,128.18 is: 1,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.67 : 4,465.94 = 1,128.18 : x
  2. Step 2: Convert to fraction form
    2,977.67/4,465.94 = 1,128.18/x
  3. Step 3: Cross multiply
    2,977.67x = 4,465.94 × 1,128.18
  4. Step 4: Simplify right side
    2,977.67x = 5,038,370.17
  5. Step 5: Solve for x
    x = 5,038,370.17/2,977.67
  6. Step 6: Final answer
    x = 1,692.05

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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.