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Finding the Fourth Proportional to 1,970.12, 2,954.44 and 653.63

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Solution

The fourth proportional to 1,970.12, 2,954.44 and 653.63 is: 980.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.12 : 2,954.44 = 653.63 : x
  2. Step 2: Convert to fraction form
    1,970.12/2,954.44 = 653.63/x
  3. Step 3: Cross multiply
    1,970.12x = 2,954.44 × 653.63
  4. Step 4: Simplify right side
    1,970.12x = 1,931,110.62
  5. Step 5: Solve for x
    x = 1,931,110.62/1,970.12
  6. Step 6: Final answer
    x = 980.20

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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.