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Finding the Fourth Proportional to 2,512.34, 3,466.34 and 1,503.63

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Solution

The fourth proportional to 2,512.34, 3,466.34 and 1,503.63 is: 2,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.34 : 3,466.34 = 1,503.63 : x
  2. Step 2: Convert to fraction form
    2,512.34/3,466.34 = 1,503.63/x
  3. Step 3: Cross multiply
    2,512.34x = 3,466.34 × 1,503.63
  4. Step 4: Simplify right side
    2,512.34x = 5,212,085.30
  5. Step 5: Solve for x
    x = 5,212,085.30/2,512.34
  6. Step 6: Final answer
    x = 2,074.60

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1.5x scale

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.