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Finding the Fourth Proportional to 1,698.03, 2,343.72 and 1,035.31

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Solution

The fourth proportional to 1,698.03, 2,343.72 and 1,035.31 is: 1,429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.03 : 2,343.72 = 1,035.31 : x
  2. Step 2: Convert to fraction form
    1,698.03/2,343.72 = 1,035.31/x
  3. Step 3: Cross multiply
    1,698.03x = 2,343.72 × 1,035.31
  4. Step 4: Simplify right side
    1,698.03x = 2,426,476.75
  5. Step 5: Solve for x
    x = 2,426,476.75/1,698.03
  6. Step 6: Final answer
    x = 1,429.00

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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.