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Finding the Fourth Proportional to 4,941.92, 7,412.16 and 1,655

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Solution

The fourth proportional to 4,941.92, 7,412.16 and 1,655 is: 2,482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.92 : 7,412.16 = 1,655 : x
  2. Step 2: Convert to fraction form
    4,941.92/7,412.16 = 1,655/x
  3. Step 3: Cross multiply
    4,941.92x = 7,412.16 × 1,655
  4. Step 4: Simplify right side
    4,941.92x = 12,267,124.80
  5. Step 5: Solve for x
    x = 12,267,124.80/4,941.92
  6. Step 6: Final answer
    x = 2,482.26

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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.