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Finding the Fourth Proportional to 2,394.09, 3,590.97 and 1,006.70

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Solution

The fourth proportional to 2,394.09, 3,590.97 and 1,006.70 is: 1,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.09 : 3,590.97 = 1,006.70 : x
  2. Step 2: Convert to fraction form
    2,394.09/3,590.97 = 1,006.70/x
  3. Step 3: Cross multiply
    2,394.09x = 3,590.97 × 1,006.70
  4. Step 4: Simplify right side
    2,394.09x = 3,615,011.54
  5. Step 5: Solve for x
    x = 3,615,011.54/2,394.09
  6. Step 6: Final answer
    x = 1,509.97

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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.