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Finding the Fourth Proportional to 2,309.78, 3,465.59 and 1,077.98

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Solution

The fourth proportional to 2,309.78, 3,465.59 and 1,077.98 is: 1,617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.78 : 3,465.59 = 1,077.98 : x
  2. Step 2: Convert to fraction form
    2,309.78/3,465.59 = 1,077.98/x
  3. Step 3: Cross multiply
    2,309.78x = 3,465.59 × 1,077.98
  4. Step 4: Simplify right side
    2,309.78x = 3,735,813.99
  5. Step 5: Solve for x
    x = 3,735,813.99/2,309.78
  6. Step 6: Final answer
    x = 1,617.39

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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.