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Finding the Fourth Proportional to 3,159.77, 4,740.46 and 968.51

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Solution

The fourth proportional to 3,159.77, 4,740.46 and 968.51 is: 1,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.77 : 4,740.46 = 968.51 : x
  2. Step 2: Convert to fraction form
    3,159.77/4,740.46 = 968.51/x
  3. Step 3: Cross multiply
    3,159.77x = 4,740.46 × 968.51
  4. Step 4: Simplify right side
    3,159.77x = 4,591,192.34
  5. Step 5: Solve for x
    x = 4,591,192.34/3,159.77
  6. Step 6: Final answer
    x = 1,453.02

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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.