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Finding the Fourth Proportional to 2,154.62, 2,954 and 2,115.74

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Solution

The fourth proportional to 2,154.62, 2,954 and 2,115.74 is: 2,900.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.62 : 2,954 = 2,115.74 : x
  2. Step 2: Convert to fraction form
    2,154.62/2,954 = 2,115.74/x
  3. Step 3: Cross multiply
    2,154.62x = 2,954 × 2,115.74
  4. Step 4: Simplify right side
    2,154.62x = 6,249,895.96
  5. Step 5: Solve for x
    x = 6,249,895.96/2,154.62
  6. Step 6: Final answer
    x = 2,900.70

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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.