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Finding the Fourth Proportional to 2,345.14, 3,515.37 and 957.61

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Solution

The fourth proportional to 2,345.14, 3,515.37 and 957.61 is: 1,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.14 : 3,515.37 = 957.61 : x
  2. Step 2: Convert to fraction form
    2,345.14/3,515.37 = 957.61/x
  3. Step 3: Cross multiply
    2,345.14x = 3,515.37 × 957.61
  4. Step 4: Simplify right side
    2,345.14x = 3,366,353.47
  5. Step 5: Solve for x
    x = 3,366,353.47/2,345.14
  6. Step 6: Final answer
    x = 1,435.46

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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.