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Finding the Fourth Proportional to 1,767.09, 2,652.23 and 946.07

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Solution

The fourth proportional to 1,767.09, 2,652.23 and 946.07 is: 1,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.09 : 2,652.23 = 946.07 : x
  2. Step 2: Convert to fraction form
    1,767.09/2,652.23 = 946.07/x
  3. Step 3: Cross multiply
    1,767.09x = 2,652.23 × 946.07
  4. Step 4: Simplify right side
    1,767.09x = 2,509,195.24
  5. Step 5: Solve for x
    x = 2,509,195.24/1,767.09
  6. Step 6: Final answer
    x = 1,419.96

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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.