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Finding the Fourth Proportional to 2,309.59, 3,465.56 and 1,155.25

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Solution

The fourth proportional to 2,309.59, 3,465.56 and 1,155.25 is: 1,733.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.59 : 3,465.56 = 1,155.25 : x
  2. Step 2: Convert to fraction form
    2,309.59/3,465.56 = 1,155.25/x
  3. Step 3: Cross multiply
    2,309.59x = 3,465.56 × 1,155.25
  4. Step 4: Simplify right side
    2,309.59x = 4,003,588.19
  5. Step 5: Solve for x
    x = 4,003,588.19/2,309.59
  6. Step 6: Final answer
    x = 1,733.46

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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.