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Finding the Fourth Proportional to 1,698.17, 2,343.35 and 1,035.23

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Solution

The fourth proportional to 1,698.17, 2,343.35 and 1,035.23 is: 1,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.17 : 2,343.35 = 1,035.23 : x
  2. Step 2: Convert to fraction form
    1,698.17/2,343.35 = 1,035.23/x
  3. Step 3: Cross multiply
    1,698.17x = 2,343.35 × 1,035.23
  4. Step 4: Simplify right side
    1,698.17x = 2,425,901.04
  5. Step 5: Solve for x
    x = 2,425,901.04/1,698.17
  6. Step 6: Final answer
    x = 1,428.54

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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.