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Finding the Fourth Proportional to 2,348.46, 3,240.86 and 1,300.50

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Solution

The fourth proportional to 2,348.46, 3,240.86 and 1,300.50 is: 1,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.46 : 3,240.86 = 1,300.50 : x
  2. Step 2: Convert to fraction form
    2,348.46/3,240.86 = 1,300.50/x
  3. Step 3: Cross multiply
    2,348.46x = 3,240.86 × 1,300.50
  4. Step 4: Simplify right side
    2,348.46x = 4,214,731.93
  5. Step 5: Solve for x
    x = 4,214,731.93/2,348.46
  6. Step 6: Final answer
    x = 1,794.68

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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.