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Finding the Fourth Proportional to 1,810.67, 2,716.01 and 944.78

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Solution

The fourth proportional to 1,810.67, 2,716.01 and 944.78 is: 1,417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.67 : 2,716.01 = 944.78 : x
  2. Step 2: Convert to fraction form
    1,810.67/2,716.01 = 944.78/x
  3. Step 3: Cross multiply
    1,810.67x = 2,716.01 × 944.78
  4. Step 4: Simplify right side
    1,810.67x = 2,566,027.20
  5. Step 5: Solve for x
    x = 2,566,027.20/1,810.67
  6. Step 6: Final answer
    x = 1,417.17

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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.