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Finding the Fourth Proportional to 2,467.74, 3,412.06 and 2,156.50

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Solution

The fourth proportional to 2,467.74, 3,412.06 and 2,156.50 is: 2,981.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.74 : 3,412.06 = 2,156.50 : x
  2. Step 2: Convert to fraction form
    2,467.74/3,412.06 = 2,156.50/x
  3. Step 3: Cross multiply
    2,467.74x = 3,412.06 × 2,156.50
  4. Step 4: Simplify right side
    2,467.74x = 7,358,107.39
  5. Step 5: Solve for x
    x = 7,358,107.39/2,467.74
  6. Step 6: Final answer
    x = 2,981.72

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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.