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Finding the Fourth Proportional to 2,970.68, 4,095.16 and 2,440.33

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Solution

The fourth proportional to 2,970.68, 4,095.16 and 2,440.33 is: 3,364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.68 : 4,095.16 = 2,440.33 : x
  2. Step 2: Convert to fraction form
    2,970.68/4,095.16 = 2,440.33/x
  3. Step 3: Cross multiply
    2,970.68x = 4,095.16 × 2,440.33
  4. Step 4: Simplify right side
    2,970.68x = 9,993,525.46
  5. Step 5: Solve for x
    x = 9,993,525.46/2,970.68
  6. Step 6: Final answer
    x = 3,364.06

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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.