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Finding the Fourth Proportional to 2,293.50, 3,165.85 and 1,362

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Solution

The fourth proportional to 2,293.50, 3,165.85 and 1,362 is: 1,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.50 : 3,165.85 = 1,362 : x
  2. Step 2: Convert to fraction form
    2,293.50/3,165.85 = 1,362/x
  3. Step 3: Cross multiply
    2,293.50x = 3,165.85 × 1,362
  4. Step 4: Simplify right side
    2,293.50x = 4,311,887.70
  5. Step 5: Solve for x
    x = 4,311,887.70/2,293.50
  6. Step 6: Final answer
    x = 1,880.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.