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Finding the Fourth Proportional to 3,114.64, 4,298.12 and 1,698.37

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Solution

The fourth proportional to 3,114.64, 4,298.12 and 1,698.37 is: 2,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.64 : 4,298.12 = 1,698.37 : x
  2. Step 2: Convert to fraction form
    3,114.64/4,298.12 = 1,698.37/x
  3. Step 3: Cross multiply
    3,114.64x = 4,298.12 × 1,698.37
  4. Step 4: Simplify right side
    3,114.64x = 7,299,798.06
  5. Step 5: Solve for x
    x = 7,299,798.06/3,114.64
  6. Step 6: Final answer
    x = 2,343.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.