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Finding the Fourth Proportional to 1,566.56, 2,163.12 and 1,070.24

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Solution

The fourth proportional to 1,566.56, 2,163.12 and 1,070.24 is: 1,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.56 : 2,163.12 = 1,070.24 : x
  2. Step 2: Convert to fraction form
    1,566.56/2,163.12 = 1,070.24/x
  3. Step 3: Cross multiply
    1,566.56x = 2,163.12 × 1,070.24
  4. Step 4: Simplify right side
    1,566.56x = 2,315,057.55
  5. Step 5: Solve for x
    x = 2,315,057.55/1,566.56
  6. Step 6: Final answer
    x = 1,477.80

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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.