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Finding the Fourth Proportional to 2,026.96, 3,038.01 and 727.72

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Solution

The fourth proportional to 2,026.96, 3,038.01 and 727.72 is: 1,090.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.96 : 3,038.01 = 727.72 : x
  2. Step 2: Convert to fraction form
    2,026.96/3,038.01 = 727.72/x
  3. Step 3: Cross multiply
    2,026.96x = 3,038.01 × 727.72
  4. Step 4: Simplify right side
    2,026.96x = 2,210,810.31
  5. Step 5: Solve for x
    x = 2,210,810.31/2,026.96
  6. Step 6: Final answer
    x = 1,090.70

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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.