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Finding the Fourth Proportional to 1,949.82, 2,924.10 and 975.66

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Solution

The fourth proportional to 1,949.82, 2,924.10 and 975.66 is: 1,463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.82 : 2,924.10 = 975.66 : x
  2. Step 2: Convert to fraction form
    1,949.82/2,924.10 = 975.66/x
  3. Step 3: Cross multiply
    1,949.82x = 2,924.10 × 975.66
  4. Step 4: Simplify right side
    1,949.82x = 2,852,927.41
  5. Step 5: Solve for x
    x = 2,852,927.41/1,949.82
  6. Step 6: Final answer
    x = 1,463.17

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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.