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Finding the Fourth Proportional to 2,054.74, 2,835.54 and 1,123.24

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Solution

The fourth proportional to 2,054.74, 2,835.54 and 1,123.24 is: 1,550.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.74 : 2,835.54 = 1,123.24 : x
  2. Step 2: Convert to fraction form
    2,054.74/2,835.54 = 1,123.24/x
  3. Step 3: Cross multiply
    2,054.74x = 2,835.54 × 1,123.24
  4. Step 4: Simplify right side
    2,054.74x = 3,184,972.16
  5. Step 5: Solve for x
    x = 3,184,972.16/2,054.74
  6. Step 6: Final answer
    x = 1,550.06

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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.