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Finding the Fourth Proportional to 1,566.72, 2,155.66 and 1,356.22

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Solution

The fourth proportional to 1,566.72, 2,155.66 and 1,356.22 is: 1,866.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.72 : 2,155.66 = 1,356.22 : x
  2. Step 2: Convert to fraction form
    1,566.72/2,155.66 = 1,356.22/x
  3. Step 3: Cross multiply
    1,566.72x = 2,155.66 × 1,356.22
  4. Step 4: Simplify right side
    1,566.72x = 2,923,549.21
  5. Step 5: Solve for x
    x = 2,923,549.21/1,566.72
  6. Step 6: Final answer
    x = 1,866.03

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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.