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Finding the Fourth Proportional to 1,698.31, 2,343.65 and 1,035.12

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Solution

The fourth proportional to 1,698.31, 2,343.65 and 1,035.12 is: 1,428.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.31 : 2,343.65 = 1,035.12 : x
  2. Step 2: Convert to fraction form
    1,698.31/2,343.65 = 1,035.12/x
  3. Step 3: Cross multiply
    1,698.31x = 2,343.65 × 1,035.12
  4. Step 4: Simplify right side
    1,698.31x = 2,425,961.58
  5. Step 5: Solve for x
    x = 2,425,961.58/1,698.31
  6. Step 6: Final answer
    x = 1,428.46

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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.