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Finding the Fourth Proportional to 6,970.95, 10,458.14 and 2,290.97

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Solution

The fourth proportional to 6,970.95, 10,458.14 and 2,290.97 is: 3,437.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.95 : 10,458.14 = 2,290.97 : x
  2. Step 2: Convert to fraction form
    6,970.95/10,458.14 = 2,290.97/x
  3. Step 3: Cross multiply
    6,970.95x = 10,458.14 × 2,290.97
  4. Step 4: Simplify right side
    6,970.95x = 23,959,221.25
  5. Step 5: Solve for x
    x = 23,959,221.25/6,970.95
  6. Step 6: Final answer
    x = 3,437.01

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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.