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Finding the Fourth Proportional to 2,362.94, 3,544.32 and 607.96

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Solution

The fourth proportional to 2,362.94, 3,544.32 and 607.96 is: 911.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.94 : 3,544.32 = 607.96 : x
  2. Step 2: Convert to fraction form
    2,362.94/3,544.32 = 607.96/x
  3. Step 3: Cross multiply
    2,362.94x = 3,544.32 × 607.96
  4. Step 4: Simplify right side
    2,362.94x = 2,154,804.79
  5. Step 5: Solve for x
    x = 2,154,804.79/2,362.94
  6. Step 6: Final answer
    x = 911.92

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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.