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Finding the Fourth Proportional to 2,029.68, 3,043.56 and 933.72

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Solution

The fourth proportional to 2,029.68, 3,043.56 and 933.72 is: 1,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.68 : 3,043.56 = 933.72 : x
  2. Step 2: Convert to fraction form
    2,029.68/3,043.56 = 933.72/x
  3. Step 3: Cross multiply
    2,029.68x = 3,043.56 × 933.72
  4. Step 4: Simplify right side
    2,029.68x = 2,841,832.84
  5. Step 5: Solve for x
    x = 2,841,832.84/2,029.68
  6. Step 6: Final answer
    x = 1,400.14

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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.