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Finding the Fourth Proportional to 2,005.88, 3,007.00 and 1,355.25

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Solution

The fourth proportional to 2,005.88, 3,007.00 and 1,355.25 is: 2,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.88 : 3,007.00 = 1,355.25 : x
  2. Step 2: Convert to fraction form
    2,005.88/3,007.00 = 1,355.25/x
  3. Step 3: Cross multiply
    2,005.88x = 3,007.00 × 1,355.25
  4. Step 4: Simplify right side
    2,005.88x = 4,075,233.36
  5. Step 5: Solve for x
    x = 4,075,233.36/2,005.88
  6. Step 6: Final answer
    x = 2,031.64

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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.