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Finding the Fourth Proportional to 2,038.74, 2,814.84 and 1,544.07

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Solution

The fourth proportional to 2,038.74, 2,814.84 and 1,544.07 is: 2,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.74 : 2,814.84 = 1,544.07 : x
  2. Step 2: Convert to fraction form
    2,038.74/2,814.84 = 1,544.07/x
  3. Step 3: Cross multiply
    2,038.74x = 2,814.84 × 1,544.07
  4. Step 4: Simplify right side
    2,038.74x = 4,346,320.55
  5. Step 5: Solve for x
    x = 4,346,320.55/2,038.74
  6. Step 6: Final answer
    x = 2,131.87

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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.