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Finding the Fourth Proportional to 2,971.09, 4,454.61 and 1,410.22

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Solution

The fourth proportional to 2,971.09, 4,454.61 and 1,410.22 is: 2,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.09 : 4,454.61 = 1,410.22 : x
  2. Step 2: Convert to fraction form
    2,971.09/4,454.61 = 1,410.22/x
  3. Step 3: Cross multiply
    2,971.09x = 4,454.61 × 1,410.22
  4. Step 4: Simplify right side
    2,971.09x = 6,281,980.11
  5. Step 5: Solve for x
    x = 6,281,980.11/2,971.09
  6. Step 6: Final answer
    x = 2,114.37

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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.