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Finding the Fourth Proportional to 2,821.64, 4,232.93 and 1,156.14

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Solution

The fourth proportional to 2,821.64, 4,232.93 and 1,156.14 is: 1,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.64 : 4,232.93 = 1,156.14 : x
  2. Step 2: Convert to fraction form
    2,821.64/4,232.93 = 1,156.14/x
  3. Step 3: Cross multiply
    2,821.64x = 4,232.93 × 1,156.14
  4. Step 4: Simplify right side
    2,821.64x = 4,893,853.91
  5. Step 5: Solve for x
    x = 4,893,853.91/2,821.64
  6. Step 6: Final answer
    x = 1,734.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.