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Finding the Fourth Proportional to 2,313.40, 3,465.46 and 1,079.16

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Solution

The fourth proportional to 2,313.40, 3,465.46 and 1,079.16 is: 1,616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.40 : 3,465.46 = 1,079.16 : x
  2. Step 2: Convert to fraction form
    2,313.40/3,465.46 = 1,079.16/x
  3. Step 3: Cross multiply
    2,313.40x = 3,465.46 × 1,079.16
  4. Step 4: Simplify right side
    2,313.40x = 3,739,785.81
  5. Step 5: Solve for x
    x = 3,739,785.81/2,313.40
  6. Step 6: Final answer
    x = 1,616.58

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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.