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Finding the Fourth Proportional to 2,297.16, 3,442.12 and 1,678.01

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Solution

The fourth proportional to 2,297.16, 3,442.12 and 1,678.01 is: 2,514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.16 : 3,442.12 = 1,678.01 : x
  2. Step 2: Convert to fraction form
    2,297.16/3,442.12 = 1,678.01/x
  3. Step 3: Cross multiply
    2,297.16x = 3,442.12 × 1,678.01
  4. Step 4: Simplify right side
    2,297.16x = 5,775,890.38
  5. Step 5: Solve for x
    x = 5,775,890.38/2,297.16
  6. Step 6: Final answer
    x = 2,514.36

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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.