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Finding the Fourth Proportional to 2,369.82, 3,555.28 and 1,071.28

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Solution

The fourth proportional to 2,369.82, 3,555.28 and 1,071.28 is: 1,607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.82 : 3,555.28 = 1,071.28 : x
  2. Step 2: Convert to fraction form
    2,369.82/3,555.28 = 1,071.28/x
  3. Step 3: Cross multiply
    2,369.82x = 3,555.28 × 1,071.28
  4. Step 4: Simplify right side
    2,369.82x = 3,808,700.36
  5. Step 5: Solve for x
    x = 3,808,700.36/2,369.82
  6. Step 6: Final answer
    x = 1,607.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.