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Finding the Fourth Proportional to 1,847.84, 2,551.20 and 1,150.24

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Solution

The fourth proportional to 1,847.84, 2,551.20 and 1,150.24 is: 1,588.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.84 : 2,551.20 = 1,150.24 : x
  2. Step 2: Convert to fraction form
    1,847.84/2,551.20 = 1,150.24/x
  3. Step 3: Cross multiply
    1,847.84x = 2,551.20 × 1,150.24
  4. Step 4: Simplify right side
    1,847.84x = 2,934,492.29
  5. Step 5: Solve for x
    x = 2,934,492.29/1,847.84
  6. Step 6: Final answer
    x = 1,588.07

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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.