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Finding the Fourth Proportional to 3,159.60, 4,739.40 and 1,310.10

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Solution

The fourth proportional to 3,159.60, 4,739.40 and 1,310.10 is: 1,965.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.60 : 4,739.40 = 1,310.10 : x
  2. Step 2: Convert to fraction form
    3,159.60/4,739.40 = 1,310.10/x
  3. Step 3: Cross multiply
    3,159.60x = 4,739.40 × 1,310.10
  4. Step 4: Simplify right side
    3,159.60x = 6,209,087.94
  5. Step 5: Solve for x
    x = 6,209,087.94/3,159.60
  6. Step 6: Final answer
    x = 1,965.15

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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.