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Finding the Fourth Proportional to 2,626.92, 3,941.94 and 2,358

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Solution

The fourth proportional to 2,626.92, 3,941.94 and 2,358 is: 3,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.92 : 3,941.94 = 2,358 : x
  2. Step 2: Convert to fraction form
    2,626.92/3,941.94 = 2,358/x
  3. Step 3: Cross multiply
    2,626.92x = 3,941.94 × 2,358
  4. Step 4: Simplify right side
    2,626.92x = 9,295,094.52
  5. Step 5: Solve for x
    x = 9,295,094.52/2,626.92
  6. Step 6: Final answer
    x = 3,538.40

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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.