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Finding the Fourth Proportional to 2,360.63, 3,257.81 and 1,312.70

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Solution

The fourth proportional to 2,360.63, 3,257.81 and 1,312.70 is: 1,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.63 : 3,257.81 = 1,312.70 : x
  2. Step 2: Convert to fraction form
    2,360.63/3,257.81 = 1,312.70/x
  3. Step 3: Cross multiply
    2,360.63x = 3,257.81 × 1,312.70
  4. Step 4: Simplify right side
    2,360.63x = 4,276,504.33
  5. Step 5: Solve for x
    x = 4,276,504.33/2,360.63
  6. Step 6: Final answer
    x = 1,811.60

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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.