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Finding the Fourth Proportional to 2,038.96, 2,814.24 and 1,409.59

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Solution

The fourth proportional to 2,038.96, 2,814.24 and 1,409.59 is: 1,945.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.96 : 2,814.24 = 1,409.59 : x
  2. Step 2: Convert to fraction form
    2,038.96/2,814.24 = 1,409.59/x
  3. Step 3: Cross multiply
    2,038.96x = 2,814.24 × 1,409.59
  4. Step 4: Simplify right side
    2,038.96x = 3,966,924.56
  5. Step 5: Solve for x
    x = 3,966,924.56/2,038.96
  6. Step 6: Final answer
    x = 1,945.56

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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.