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Finding the Fourth Proportional to 3,313.95, 4,970.61 and 848.70

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Solution

The fourth proportional to 3,313.95, 4,970.61 and 848.70 is: 1,272.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.95 : 4,970.61 = 848.70 : x
  2. Step 2: Convert to fraction form
    3,313.95/4,970.61 = 848.70/x
  3. Step 3: Cross multiply
    3,313.95x = 4,970.61 × 848.70
  4. Step 4: Simplify right side
    3,313.95x = 4,218,556.71
  5. Step 5: Solve for x
    x = 4,218,556.71/3,313.95
  6. Step 6: Final answer
    x = 1,272.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.