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Finding the Fourth Proportional to 1,698.77, 2,341.35 and 1,383.36

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Solution

The fourth proportional to 1,698.77, 2,341.35 and 1,383.36 is: 1,906.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.77 : 2,341.35 = 1,383.36 : x
  2. Step 2: Convert to fraction form
    1,698.77/2,341.35 = 1,383.36/x
  3. Step 3: Cross multiply
    1,698.77x = 2,341.35 × 1,383.36
  4. Step 4: Simplify right side
    1,698.77x = 3,238,929.94
  5. Step 5: Solve for x
    x = 3,238,929.94/1,698.77
  6. Step 6: Final answer
    x = 1,906.64

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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.