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Finding the Fourth Proportional to 2,070.53, 3,107.33 and 1,291.67

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Solution

The fourth proportional to 2,070.53, 3,107.33 and 1,291.67 is: 1,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.53 : 3,107.33 = 1,291.67 : x
  2. Step 2: Convert to fraction form
    2,070.53/3,107.33 = 1,291.67/x
  3. Step 3: Cross multiply
    2,070.53x = 3,107.33 × 1,291.67
  4. Step 4: Simplify right side
    2,070.53x = 4,013,622.95
  5. Step 5: Solve for x
    x = 4,013,622.95/2,070.53
  6. Step 6: Final answer
    x = 1,938.46

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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.