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Finding the Fourth Proportional to 2,476.95, 3,415.20 and 2,140.25

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Solution

The fourth proportional to 2,476.95, 3,415.20 and 2,140.25 is: 2,950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.95 : 3,415.20 = 2,140.25 : x
  2. Step 2: Convert to fraction form
    2,476.95/3,415.20 = 2,140.25/x
  3. Step 3: Cross multiply
    2,476.95x = 3,415.20 × 2,140.25
  4. Step 4: Simplify right side
    2,476.95x = 7,309,370.07
  5. Step 5: Solve for x
    x = 7,309,370.07/2,476.95
  6. Step 6: Final answer
    x = 2,950.95

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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.