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Finding the Fourth Proportional to 1,698.07, 2,343.75 and 1,035.29

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Solution

The fourth proportional to 1,698.07, 2,343.75 and 1,035.29 is: 1,428.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.07 : 2,343.75 = 1,035.29 : x
  2. Step 2: Convert to fraction form
    1,698.07/2,343.75 = 1,035.29/x
  3. Step 3: Cross multiply
    1,698.07x = 2,343.75 × 1,035.29
  4. Step 4: Simplify right side
    1,698.07x = 2,426,449.22
  5. Step 5: Solve for x
    x = 2,426,449.22/1,698.07
  6. Step 6: Final answer
    x = 1,428.95

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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.