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Finding the Fourth Proportional to 2,970.90, 4,097.73 and 2,411.37

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Solution

The fourth proportional to 2,970.90, 4,097.73 and 2,411.37 is: 3,325.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.90 : 4,097.73 = 2,411.37 : x
  2. Step 2: Convert to fraction form
    2,970.90/4,097.73 = 2,411.37/x
  3. Step 3: Cross multiply
    2,970.90x = 4,097.73 × 2,411.37
  4. Step 4: Simplify right side
    2,970.90x = 9,881,143.19
  5. Step 5: Solve for x
    x = 9,881,143.19/2,970.90
  6. Step 6: Final answer
    x = 3,325.98

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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.