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Finding the Fourth Proportional to 1,964.30, 2,946.60 and 503.44

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Solution

The fourth proportional to 1,964.30, 2,946.60 and 503.44 is: 755.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.30 : 2,946.60 = 503.44 : x
  2. Step 2: Convert to fraction form
    1,964.30/2,946.60 = 503.44/x
  3. Step 3: Cross multiply
    1,964.30x = 2,946.60 × 503.44
  4. Step 4: Simplify right side
    1,964.30x = 1,483,428.94
  5. Step 5: Solve for x
    x = 1,483,428.94/1,964.30
  6. Step 6: Final answer
    x = 755.20

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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.