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Finding the Fourth Proportional to 2,065.84, 2,847.54 and 1,592.08

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Solution

The fourth proportional to 2,065.84, 2,847.54 and 1,592.08 is: 2,194.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.84 : 2,847.54 = 1,592.08 : x
  2. Step 2: Convert to fraction form
    2,065.84/2,847.54 = 1,592.08/x
  3. Step 3: Cross multiply
    2,065.84x = 2,847.54 × 1,592.08
  4. Step 4: Simplify right side
    2,065.84x = 4,533,511.48
  5. Step 5: Solve for x
    x = 4,533,511.48/2,065.84
  6. Step 6: Final answer
    x = 2,194.51

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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.