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Finding the Fourth Proportional to 1,693.36, 2,337.20 and 1,102.84

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Solution

The fourth proportional to 1,693.36, 2,337.20 and 1,102.84 is: 1,522.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.36 : 2,337.20 = 1,102.84 : x
  2. Step 2: Convert to fraction form
    1,693.36/2,337.20 = 1,102.84/x
  3. Step 3: Cross multiply
    1,693.36x = 2,337.20 × 1,102.84
  4. Step 4: Simplify right side
    1,693.36x = 2,577,557.65
  5. Step 5: Solve for x
    x = 2,577,557.65/1,693.36
  6. Step 6: Final answer
    x = 1,522.16

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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.