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Finding the Fourth Proportional to 1,544.04, 2,317.14 and 813.78

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Solution

The fourth proportional to 1,544.04, 2,317.14 and 813.78 is: 1,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.04 : 2,317.14 = 813.78 : x
  2. Step 2: Convert to fraction form
    1,544.04/2,317.14 = 813.78/x
  3. Step 3: Cross multiply
    1,544.04x = 2,317.14 × 813.78
  4. Step 4: Simplify right side
    1,544.04x = 1,885,642.19
  5. Step 5: Solve for x
    x = 1,885,642.19/1,544.04
  6. Step 6: Final answer
    x = 1,221.24

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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.