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Finding the Fourth Proportional to 2,435.46, 3,653.19 and 2,260.50

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Solution

The fourth proportional to 2,435.46, 3,653.19 and 2,260.50 is: 3,390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.46 : 3,653.19 = 2,260.50 : x
  2. Step 2: Convert to fraction form
    2,435.46/3,653.19 = 2,260.50/x
  3. Step 3: Cross multiply
    2,435.46x = 3,653.19 × 2,260.50
  4. Step 4: Simplify right side
    2,435.46x = 8,258,036.00
  5. Step 5: Solve for x
    x = 8,258,036.00/2,435.46
  6. Step 6: Final answer
    x = 3,390.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.