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Finding the Fourth Proportional to 2,038.83, 2,815.10 and 1,803.05

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Solution

The fourth proportional to 2,038.83, 2,815.10 and 1,803.05 is: 2,489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.83 : 2,815.10 = 1,803.05 : x
  2. Step 2: Convert to fraction form
    2,038.83/2,815.10 = 1,803.05/x
  3. Step 3: Cross multiply
    2,038.83x = 2,815.10 × 1,803.05
  4. Step 4: Simplify right side
    2,038.83x = 5,075,742.96
  5. Step 5: Solve for x
    x = 5,075,742.96/2,038.83
  6. Step 6: Final answer
    x = 2,489.54

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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.