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Finding the Fourth Proportional to 1,698.30, 2,343.82 and 1,035.32

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Solution

The fourth proportional to 1,698.30, 2,343.82 and 1,035.32 is: 1,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.30 : 2,343.82 = 1,035.32 : x
  2. Step 2: Convert to fraction form
    1,698.30/2,343.82 = 1,035.32/x
  3. Step 3: Cross multiply
    1,698.30x = 2,343.82 × 1,035.32
  4. Step 4: Simplify right side
    1,698.30x = 2,426,603.72
  5. Step 5: Solve for x
    x = 2,426,603.72/1,698.30
  6. Step 6: Final answer
    x = 1,428.84

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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.