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Finding the Fourth Proportional to 2,394.36, 3,590.15 and 931.79

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Solution

The fourth proportional to 2,394.36, 3,590.15 and 931.79 is: 1,397.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.36 : 3,590.15 = 931.79 : x
  2. Step 2: Convert to fraction form
    2,394.36/3,590.15 = 931.79/x
  3. Step 3: Cross multiply
    2,394.36x = 3,590.15 × 931.79
  4. Step 4: Simplify right side
    2,394.36x = 3,345,270.18
  5. Step 5: Solve for x
    x = 3,345,270.18/2,394.36
  6. Step 6: Final answer
    x = 1,397.15

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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.