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Finding the Fourth Proportional to 2,360.99, 3,539.05 and 1,265.06

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Solution

The fourth proportional to 2,360.99, 3,539.05 and 1,265.06 is: 1,896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.99 : 3,539.05 = 1,265.06 : x
  2. Step 2: Convert to fraction form
    2,360.99/3,539.05 = 1,265.06/x
  3. Step 3: Cross multiply
    2,360.99x = 3,539.05 × 1,265.06
  4. Step 4: Simplify right side
    2,360.99x = 4,477,110.59
  5. Step 5: Solve for x
    x = 4,477,110.59/2,360.99
  6. Step 6: Final answer
    x = 1,896.29

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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.