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Finding the Fourth Proportional to 1,967.04, 2,949.84 and 992.46

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Solution

The fourth proportional to 1,967.04, 2,949.84 and 992.46 is: 1,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.04 : 2,949.84 = 992.46 : x
  2. Step 2: Convert to fraction form
    1,967.04/2,949.84 = 992.46/x
  3. Step 3: Cross multiply
    1,967.04x = 2,949.84 × 992.46
  4. Step 4: Simplify right side
    1,967.04x = 2,927,598.21
  5. Step 5: Solve for x
    x = 2,927,598.21/1,967.04
  6. Step 6: Final answer
    x = 1,488.33

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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.