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Finding the Fourth Proportional to 2,070.16, 2,855.45 and 1,571.67

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Solution

The fourth proportional to 2,070.16, 2,855.45 and 1,571.67 is: 2,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.16 : 2,855.45 = 1,571.67 : x
  2. Step 2: Convert to fraction form
    2,070.16/2,855.45 = 1,571.67/x
  3. Step 3: Cross multiply
    2,070.16x = 2,855.45 × 1,571.67
  4. Step 4: Simplify right side
    2,070.16x = 4,487,829.03
  5. Step 5: Solve for x
    x = 4,487,829.03/2,070.16
  6. Step 6: Final answer
    x = 2,167.87

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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.