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Finding the Fourth Proportional to 2,362.08, 3,543.48 and 630.84

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Solution

The fourth proportional to 2,362.08, 3,543.48 and 630.84 is: 946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.08 : 3,543.48 = 630.84 : x
  2. Step 2: Convert to fraction form
    2,362.08/3,543.48 = 630.84/x
  3. Step 3: Cross multiply
    2,362.08x = 3,543.48 × 630.84
  4. Step 4: Simplify right side
    2,362.08x = 2,235,368.92
  5. Step 5: Solve for x
    x = 2,235,368.92/2,362.08
  6. Step 6: Final answer
    x = 946.36

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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.