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Finding the Fourth Proportional to 2,312.63, 3,191.37 and 1,264.70

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Solution

The fourth proportional to 2,312.63, 3,191.37 and 1,264.70 is: 1,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.63 : 3,191.37 = 1,264.70 : x
  2. Step 2: Convert to fraction form
    2,312.63/3,191.37 = 1,264.70/x
  3. Step 3: Cross multiply
    2,312.63x = 3,191.37 × 1,264.70
  4. Step 4: Simplify right side
    2,312.63x = 4,036,125.64
  5. Step 5: Solve for x
    x = 4,036,125.64/2,312.63
  6. Step 6: Final answer
    x = 1,745.25

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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.