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Finding the Fourth Proportional to 3,159.60, 4,739.58 and 1,310.64

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Solution

The fourth proportional to 3,159.60, 4,739.58 and 1,310.64 is: 1,966.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.60 : 4,739.58 = 1,310.64 : x
  2. Step 2: Convert to fraction form
    3,159.60/4,739.58 = 1,310.64/x
  3. Step 3: Cross multiply
    3,159.60x = 4,739.58 × 1,310.64
  4. Step 4: Simplify right side
    3,159.60x = 6,211,883.13
  5. Step 5: Solve for x
    x = 6,211,883.13/3,159.60
  6. Step 6: Final answer
    x = 1,966.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.