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Finding the Fourth Proportional to 2,698.14, 4,047.84 and 1,312.14

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Solution

The fourth proportional to 2,698.14, 4,047.84 and 1,312.14 is: 1,968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.14 : 4,047.84 = 1,312.14 : x
  2. Step 2: Convert to fraction form
    2,698.14/4,047.84 = 1,312.14/x
  3. Step 3: Cross multiply
    2,698.14x = 4,047.84 × 1,312.14
  4. Step 4: Simplify right side
    2,698.14x = 5,311,332.78
  5. Step 5: Solve for x
    x = 5,311,332.78/2,698.14
  6. Step 6: Final answer
    x = 1,968.52

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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.