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Finding the Fourth Proportional to 1,970.16, 2,719.22 and 1,131.44

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Solution

The fourth proportional to 1,970.16, 2,719.22 and 1,131.44 is: 1,561.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.16 : 2,719.22 = 1,131.44 : x
  2. Step 2: Convert to fraction form
    1,970.16/2,719.22 = 1,131.44/x
  3. Step 3: Cross multiply
    1,970.16x = 2,719.22 × 1,131.44
  4. Step 4: Simplify right side
    1,970.16x = 3,076,615.02
  5. Step 5: Solve for x
    x = 3,076,615.02/1,970.16
  6. Step 6: Final answer
    x = 1,561.61

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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.