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Finding the Fourth Proportional to 1,566.03, 2,160.41 and 1,100.55

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Solution

The fourth proportional to 1,566.03, 2,160.41 and 1,100.55 is: 1,518.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.03 : 2,160.41 = 1,100.55 : x
  2. Step 2: Convert to fraction form
    1,566.03/2,160.41 = 1,100.55/x
  3. Step 3: Cross multiply
    1,566.03x = 2,160.41 × 1,100.55
  4. Step 4: Simplify right side
    1,566.03x = 2,377,633.72
  5. Step 5: Solve for x
    x = 2,377,633.72/1,566.03
  6. Step 6: Final answer
    x = 1,518.26

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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.