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Finding the Fourth Proportional to 1,661.83, 2,294.25 and 1,307.05

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Solution

The fourth proportional to 1,661.83, 2,294.25 and 1,307.05 is: 1,804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.83 : 2,294.25 = 1,307.05 : x
  2. Step 2: Convert to fraction form
    1,661.83/2,294.25 = 1,307.05/x
  3. Step 3: Cross multiply
    1,661.83x = 2,294.25 × 1,307.05
  4. Step 4: Simplify right side
    1,661.83x = 2,998,687.99
  5. Step 5: Solve for x
    x = 2,998,687.99/1,661.83
  6. Step 6: Final answer
    x = 1,804.45

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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.