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Finding the Fourth Proportional to 1,812.45, 2,712.90 and 1,317.14

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Solution

The fourth proportional to 1,812.45, 2,712.90 and 1,317.14 is: 1,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.45 : 2,712.90 = 1,317.14 : x
  2. Step 2: Convert to fraction form
    1,812.45/2,712.90 = 1,317.14/x
  3. Step 3: Cross multiply
    1,812.45x = 2,712.90 × 1,317.14
  4. Step 4: Simplify right side
    1,812.45x = 3,573,269.11
  5. Step 5: Solve for x
    x = 3,573,269.11/1,812.45
  6. Step 6: Final answer
    x = 1,971.51

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Why These Related Problems?

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