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Finding the Fourth Proportional to 2,348.46, 3,522.74 and 705.02

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Solution

The fourth proportional to 2,348.46, 3,522.74 and 705.02 is: 1,057.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.46 : 3,522.74 = 705.02 : x
  2. Step 2: Convert to fraction form
    2,348.46/3,522.74 = 705.02/x
  3. Step 3: Cross multiply
    2,348.46x = 3,522.74 × 705.02
  4. Step 4: Simplify right side
    2,348.46x = 2,483,581.02
  5. Step 5: Solve for x
    x = 2,483,581.02/2,348.46
  6. Step 6: Final answer
    x = 1,057.54

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1.5x scale

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.