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Finding the Fourth Proportional to 3,117.48, 4,674.48 and 1,241.46

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Solution

The fourth proportional to 3,117.48, 4,674.48 and 1,241.46 is: 1,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.48 : 4,674.48 = 1,241.46 : x
  2. Step 2: Convert to fraction form
    3,117.48/4,674.48 = 1,241.46/x
  3. Step 3: Cross multiply
    3,117.48x = 4,674.48 × 1,241.46
  4. Step 4: Simplify right side
    3,117.48x = 5,803,179.94
  5. Step 5: Solve for x
    x = 5,803,179.94/3,117.48
  6. Step 6: Final answer
    x = 1,861.50

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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.