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Finding the Fourth Proportional to 3,005.51, 4,504.14 and 1,689.89

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Solution

The fourth proportional to 3,005.51, 4,504.14 and 1,689.89 is: 2,532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.51 : 4,504.14 = 1,689.89 : x
  2. Step 2: Convert to fraction form
    3,005.51/4,504.14 = 1,689.89/x
  3. Step 3: Cross multiply
    3,005.51x = 4,504.14 × 1,689.89
  4. Step 4: Simplify right side
    3,005.51x = 7,611,501.14
  5. Step 5: Solve for x
    x = 7,611,501.14/3,005.51
  6. Step 6: Final answer
    x = 2,532.52

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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.