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Finding the Fourth Proportional to 3,154.14, 4,352.63 and 1,827.77

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Solution

The fourth proportional to 3,154.14, 4,352.63 and 1,827.77 is: 2,522.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.14 : 4,352.63 = 1,827.77 : x
  2. Step 2: Convert to fraction form
    3,154.14/4,352.63 = 1,827.77/x
  3. Step 3: Cross multiply
    3,154.14x = 4,352.63 × 1,827.77
  4. Step 4: Simplify right side
    3,154.14x = 7,955,575.63
  5. Step 5: Solve for x
    x = 7,955,575.63/3,154.14
  6. Step 6: Final answer
    x = 2,522.26

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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.