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Finding the Fourth Proportional to 1,990.63, 2,741.16 and 1,430.11

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Solution

The fourth proportional to 1,990.63, 2,741.16 and 1,430.11 is: 1,969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.63 : 2,741.16 = 1,430.11 : x
  2. Step 2: Convert to fraction form
    1,990.63/2,741.16 = 1,430.11/x
  3. Step 3: Cross multiply
    1,990.63x = 2,741.16 × 1,430.11
  4. Step 4: Simplify right side
    1,990.63x = 3,920,160.33
  5. Step 5: Solve for x
    x = 3,920,160.33/1,990.63
  6. Step 6: Final answer
    x = 1,969.31

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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.