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Finding the Fourth Proportional to 2,596.86, 3,583.56 and 1,417.92

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Solution

The fourth proportional to 2,596.86, 3,583.56 and 1,417.92 is: 1,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.86 : 3,583.56 = 1,417.92 : x
  2. Step 2: Convert to fraction form
    2,596.86/3,583.56 = 1,417.92/x
  3. Step 3: Cross multiply
    2,596.86x = 3,583.56 × 1,417.92
  4. Step 4: Simplify right side
    2,596.86x = 5,081,201.40
  5. Step 5: Solve for x
    x = 5,081,201.40/2,596.86
  6. Step 6: Final answer
    x = 1,956.67

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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.