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Finding the Fourth Proportional to 1,970.50, 2,719.47 and 1,131.32

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Solution

The fourth proportional to 1,970.50, 2,719.47 and 1,131.32 is: 1,561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.50 : 2,719.47 = 1,131.32 : x
  2. Step 2: Convert to fraction form
    1,970.50/2,719.47 = 1,131.32/x
  3. Step 3: Cross multiply
    1,970.50x = 2,719.47 × 1,131.32
  4. Step 4: Simplify right side
    1,970.50x = 3,076,586.54
  5. Step 5: Solve for x
    x = 3,076,586.54/1,970.50
  6. Step 6: Final answer
    x = 1,561.32

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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.