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Finding the Fourth Proportional to 2,095.36, 3,142.30 and 708.42

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Solution

The fourth proportional to 2,095.36, 3,142.30 and 708.42 is: 1,062.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.36 : 3,142.30 = 708.42 : x
  2. Step 2: Convert to fraction form
    2,095.36/3,142.30 = 708.42/x
  3. Step 3: Cross multiply
    2,095.36x = 3,142.30 × 708.42
  4. Step 4: Simplify right side
    2,095.36x = 2,226,068.17
  5. Step 5: Solve for x
    x = 2,226,068.17/2,095.36
  6. Step 6: Final answer
    x = 1,062.38

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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.