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Finding the Fourth Proportional to 2,257.37, 3,114.92 and 1,312.84

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Solution

The fourth proportional to 2,257.37, 3,114.92 and 1,312.84 is: 1,811.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.37 : 3,114.92 = 1,312.84 : x
  2. Step 2: Convert to fraction form
    2,257.37/3,114.92 = 1,312.84/x
  3. Step 3: Cross multiply
    2,257.37x = 3,114.92 × 1,312.84
  4. Step 4: Simplify right side
    2,257.37x = 4,089,398.75
  5. Step 5: Solve for x
    x = 4,089,398.75/2,257.37
  6. Step 6: Final answer
    x = 1,811.58

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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.