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Finding the Fourth Proportional to 2,698.60, 4,047.90 and 1,312.60

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Solution

The fourth proportional to 2,698.60, 4,047.90 and 1,312.60 is: 1,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.60 : 4,047.90 = 1,312.60 : x
  2. Step 2: Convert to fraction form
    2,698.60/4,047.90 = 1,312.60/x
  3. Step 3: Cross multiply
    2,698.60x = 4,047.90 × 1,312.60
  4. Step 4: Simplify right side
    2,698.60x = 5,313,273.54
  5. Step 5: Solve for x
    x = 5,313,273.54/2,698.60
  6. Step 6: Final answer
    x = 1,968.90

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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.