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Finding the Fourth Proportional to 1,742.09, 2,622.63 and 1,589.00

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Solution

The fourth proportional to 1,742.09, 2,622.63 and 1,589.00 is: 2,392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.09 : 2,622.63 = 1,589.00 : x
  2. Step 2: Convert to fraction form
    1,742.09/2,622.63 = 1,589.00/x
  3. Step 3: Cross multiply
    1,742.09x = 2,622.63 × 1,589.00
  4. Step 4: Simplify right side
    1,742.09x = 4,167,345.96
  5. Step 5: Solve for x
    x = 4,167,345.96/1,742.09
  6. Step 6: Final answer
    x = 2,392.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.