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Finding the Fourth Proportional to 2,045.84, 2,803.59 and 1,849.01

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Solution

The fourth proportional to 2,045.84, 2,803.59 and 1,849.01 is: 2,533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.84 : 2,803.59 = 1,849.01 : x
  2. Step 2: Convert to fraction form
    2,045.84/2,803.59 = 1,849.01/x
  3. Step 3: Cross multiply
    2,045.84x = 2,803.59 × 1,849.01
  4. Step 4: Simplify right side
    2,045.84x = 5,183,865.95
  5. Step 5: Solve for x
    x = 5,183,865.95/2,045.84
  6. Step 6: Final answer
    x = 2,533.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.