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Finding the Fourth Proportional to 2,312.94, 3,191.80 and 1,265.02

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Solution

The fourth proportional to 2,312.94, 3,191.80 and 1,265.02 is: 1,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.94 : 3,191.80 = 1,265.02 : x
  2. Step 2: Convert to fraction form
    2,312.94/3,191.80 = 1,265.02/x
  3. Step 3: Cross multiply
    2,312.94x = 3,191.80 × 1,265.02
  4. Step 4: Simplify right side
    2,312.94x = 4,037,690.84
  5. Step 5: Solve for x
    x = 4,037,690.84/2,312.94
  6. Step 6: Final answer
    x = 1,745.70

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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.