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Finding the Fourth Proportional to 3,114.71, 4,298.36 and 1,698.40

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Solution

The fourth proportional to 3,114.71, 4,298.36 and 1,698.40 is: 2,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.71 : 4,298.36 = 1,698.40 : x
  2. Step 2: Convert to fraction form
    3,114.71/4,298.36 = 1,698.40/x
  3. Step 3: Cross multiply
    3,114.71x = 4,298.36 × 1,698.40
  4. Step 4: Simplify right side
    3,114.71x = 7,300,334.62
  5. Step 5: Solve for x
    x = 7,300,334.62/3,114.71
  6. Step 6: Final answer
    x = 2,343.82

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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.