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Finding the Fourth Proportional to 1,663.09, 2,495.76 and 689.19

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Solution

The fourth proportional to 1,663.09, 2,495.76 and 689.19 is: 1,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.09 : 2,495.76 = 689.19 : x
  2. Step 2: Convert to fraction form
    1,663.09/2,495.76 = 689.19/x
  3. Step 3: Cross multiply
    1,663.09x = 2,495.76 × 689.19
  4. Step 4: Simplify right side
    1,663.09x = 1,720,052.83
  5. Step 5: Solve for x
    x = 1,720,052.83/1,663.09
  6. Step 6: Final answer
    x = 1,034.25

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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.