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Finding the Fourth Proportional to 1,955.02, 2,933.68 and 723.29

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Solution

The fourth proportional to 1,955.02, 2,933.68 and 723.29 is: 1,085.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.02 : 2,933.68 = 723.29 : x
  2. Step 2: Convert to fraction form
    1,955.02/2,933.68 = 723.29/x
  3. Step 3: Cross multiply
    1,955.02x = 2,933.68 × 723.29
  4. Step 4: Simplify right side
    1,955.02x = 2,121,901.41
  5. Step 5: Solve for x
    x = 2,121,901.41/1,955.02
  6. Step 6: Final answer
    x = 1,085.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.