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Finding the Fourth Proportional to 1,698.05, 2,344.80 and 1,069.70

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Solution

The fourth proportional to 1,698.05, 2,344.80 and 1,069.70 is: 1,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.05 : 2,344.80 = 1,069.70 : x
  2. Step 2: Convert to fraction form
    1,698.05/2,344.80 = 1,069.70/x
  3. Step 3: Cross multiply
    1,698.05x = 2,344.80 × 1,069.70
  4. Step 4: Simplify right side
    1,698.05x = 2,508,220.84
  5. Step 5: Solve for x
    x = 2,508,220.84/1,698.05
  6. Step 6: Final answer
    x = 1,477.12

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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.