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Finding the Fourth Proportional to 1,450.07, 1,999.64 and 1,290.06

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Solution

The fourth proportional to 1,450.07, 1,999.64 and 1,290.06 is: 1,778.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.07 : 1,999.64 = 1,290.06 : x
  2. Step 2: Convert to fraction form
    1,450.07/1,999.64 = 1,290.06/x
  3. Step 3: Cross multiply
    1,450.07x = 1,999.64 × 1,290.06
  4. Step 4: Simplify right side
    1,450.07x = 2,579,655.58
  5. Step 5: Solve for x
    x = 2,579,655.58/1,450.07
  6. Step 6: Final answer
    x = 1,778.99

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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.