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Finding the Fourth Proportional to 2,702.60, 4,051.10 and 1,313.88

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Solution

The fourth proportional to 2,702.60, 4,051.10 and 1,313.88 is: 1,969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.60 : 4,051.10 = 1,313.88 : x
  2. Step 2: Convert to fraction form
    2,702.60/4,051.10 = 1,313.88/x
  3. Step 3: Cross multiply
    2,702.60x = 4,051.10 × 1,313.88
  4. Step 4: Simplify right side
    2,702.60x = 5,322,659.27
  5. Step 5: Solve for x
    x = 5,322,659.27/2,702.60
  6. Step 6: Final answer
    x = 1,969.46

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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.