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Finding the Fourth Proportional to 1,699.77, 2,532.33 and 1,617.15

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Solution

The fourth proportional to 1,699.77, 2,532.33 and 1,617.15 is: 2,409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.77 : 2,532.33 = 1,617.15 : x
  2. Step 2: Convert to fraction form
    1,699.77/2,532.33 = 1,617.15/x
  3. Step 3: Cross multiply
    1,699.77x = 2,532.33 × 1,617.15
  4. Step 4: Simplify right side
    1,699.77x = 4,095,157.46
  5. Step 5: Solve for x
    x = 4,095,157.46/1,699.77
  6. Step 6: Final answer
    x = 2,409.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.