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Finding the Fourth Proportional to 2,050.92, 2,823.66 and 1,803.06

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Solution

The fourth proportional to 2,050.92, 2,823.66 and 1,803.06 is: 2,482.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.92 : 2,823.66 = 1,803.06 : x
  2. Step 2: Convert to fraction form
    2,050.92/2,823.66 = 1,803.06/x
  3. Step 3: Cross multiply
    2,050.92x = 2,823.66 × 1,803.06
  4. Step 4: Simplify right side
    2,050.92x = 5,091,228.40
  5. Step 5: Solve for x
    x = 5,091,228.40/2,050.92
  6. Step 6: Final answer
    x = 2,482.41

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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.