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Finding the Fourth Proportional to 2,477.96, 3,420.99 and 1,722.86

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Solution

The fourth proportional to 2,477.96, 3,420.99 and 1,722.86 is: 2,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.96 : 3,420.99 = 1,722.86 : x
  2. Step 2: Convert to fraction form
    2,477.96/3,420.99 = 1,722.86/x
  3. Step 3: Cross multiply
    2,477.96x = 3,420.99 × 1,722.86
  4. Step 4: Simplify right side
    2,477.96x = 5,893,886.83
  5. Step 5: Solve for x
    x = 5,893,886.83/2,477.96
  6. Step 6: Final answer
    x = 2,378.52

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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.