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Finding the Fourth Proportional to 2,604.21, 3,590.07 and 1,856.87

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Solution

The fourth proportional to 2,604.21, 3,590.07 and 1,856.87 is: 2,559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.21 : 3,590.07 = 1,856.87 : x
  2. Step 2: Convert to fraction form
    2,604.21/3,590.07 = 1,856.87/x
  3. Step 3: Cross multiply
    2,604.21x = 3,590.07 × 1,856.87
  4. Step 4: Simplify right side
    2,604.21x = 6,666,293.28
  5. Step 5: Solve for x
    x = 6,666,293.28/2,604.21
  6. Step 6: Final answer
    x = 2,559.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.