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Finding the Fourth Proportional to 1,955, 2,933.22 and 1,030.52

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Solution

The fourth proportional to 1,955, 2,933.22 and 1,030.52 is: 1,546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955 : 2,933.22 = 1,030.52 : x
  2. Step 2: Convert to fraction form
    1,955/2,933.22 = 1,030.52/x
  3. Step 3: Cross multiply
    1,955x = 2,933.22 × 1,030.52
  4. Step 4: Simplify right side
    1,955x = 3,022,741.87
  5. Step 5: Solve for x
    x = 3,022,741.87/1,955
  6. Step 6: Final answer
    x = 1,546.16

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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.