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Finding the Fourth Proportional to 1,964.41, 2,946.51 and 503.47

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Solution

The fourth proportional to 1,964.41, 2,946.51 and 503.47 is: 755.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.41 : 2,946.51 = 503.47 : x
  2. Step 2: Convert to fraction form
    1,964.41/2,946.51 = 503.47/x
  3. Step 3: Cross multiply
    1,964.41x = 2,946.51 × 503.47
  4. Step 4: Simplify right side
    1,964.41x = 1,483,479.39
  5. Step 5: Solve for x
    x = 1,483,479.39/1,964.41
  6. Step 6: Final answer
    x = 755.18

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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.