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Finding the Fourth Proportional to 2,003.05, 2,762.08 and 1,504.81

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Solution

The fourth proportional to 2,003.05, 2,762.08 and 1,504.81 is: 2,075.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.05 : 2,762.08 = 1,504.81 : x
  2. Step 2: Convert to fraction form
    2,003.05/2,762.08 = 1,504.81/x
  3. Step 3: Cross multiply
    2,003.05x = 2,762.08 × 1,504.81
  4. Step 4: Simplify right side
    2,003.05x = 4,156,405.60
  5. Step 5: Solve for x
    x = 4,156,405.60/2,003.05
  6. Step 6: Final answer
    x = 2,075.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.