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Finding the Fourth Proportional to 2,257.02, 3,114.71 and 1,312.86

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Solution

The fourth proportional to 2,257.02, 3,114.71 and 1,312.86 is: 1,811.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.02 : 3,114.71 = 1,312.86 : x
  2. Step 2: Convert to fraction form
    2,257.02/3,114.71 = 1,312.86/x
  3. Step 3: Cross multiply
    2,257.02x = 3,114.71 × 1,312.86
  4. Step 4: Simplify right side
    2,257.02x = 4,089,171.61
  5. Step 5: Solve for x
    x = 4,089,171.61/2,257.02
  6. Step 6: Final answer
    x = 1,811.76

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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.