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Finding the Fourth Proportional to 2,394.27, 3,590.63 and 933.93

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Solution

The fourth proportional to 2,394.27, 3,590.63 and 933.93 is: 1,400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.27 : 3,590.63 = 933.93 : x
  2. Step 2: Convert to fraction form
    2,394.27/3,590.63 = 933.93/x
  3. Step 3: Cross multiply
    2,394.27x = 3,590.63 × 933.93
  4. Step 4: Simplify right side
    2,394.27x = 3,353,392.41
  5. Step 5: Solve for x
    x = 3,353,392.41/2,394.27
  6. Step 6: Final answer
    x = 1,400.59

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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.