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Finding the Fourth Proportional to 1,822.55, 2,509.03 and 1,738.86

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Solution

The fourth proportional to 1,822.55, 2,509.03 and 1,738.86 is: 2,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.55 : 2,509.03 = 1,738.86 : x
  2. Step 2: Convert to fraction form
    1,822.55/2,509.03 = 1,738.86/x
  3. Step 3: Cross multiply
    1,822.55x = 2,509.03 × 1,738.86
  4. Step 4: Simplify right side
    1,822.55x = 4,362,835.01
  5. Step 5: Solve for x
    x = 4,362,835.01/1,822.55
  6. Step 6: Final answer
    x = 2,393.81

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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.