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Finding the Fourth Proportional to 2,596.86, 3,895.64 and 953.43

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Solution

The fourth proportional to 2,596.86, 3,895.64 and 953.43 is: 1,430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.86 : 3,895.64 = 953.43 : x
  2. Step 2: Convert to fraction form
    2,596.86/3,895.64 = 953.43/x
  3. Step 3: Cross multiply
    2,596.86x = 3,895.64 × 953.43
  4. Step 4: Simplify right side
    2,596.86x = 3,714,215.28
  5. Step 5: Solve for x
    x = 3,714,215.28/2,596.86
  6. Step 6: Final answer
    x = 1,430.27

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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.