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Finding the Fourth Proportional to 2,309.58, 3,465.14 and 1,140.41

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Solution

The fourth proportional to 2,309.58, 3,465.14 and 1,140.41 is: 1,711.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.58 : 3,465.14 = 1,140.41 : x
  2. Step 2: Convert to fraction form
    2,309.58/3,465.14 = 1,140.41/x
  3. Step 3: Cross multiply
    2,309.58x = 3,465.14 × 1,140.41
  4. Step 4: Simplify right side
    2,309.58x = 3,951,683.27
  5. Step 5: Solve for x
    x = 3,951,683.27/2,309.58
  6. Step 6: Final answer
    x = 1,711.00

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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.