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Finding the Fourth Proportional to 1,950.76, 2,926.30 and 976.84

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Solution

The fourth proportional to 1,950.76, 2,926.30 and 976.84 is: 1,465.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.76 : 2,926.30 = 976.84 : x
  2. Step 2: Convert to fraction form
    1,950.76/2,926.30 = 976.84/x
  3. Step 3: Cross multiply
    1,950.76x = 2,926.30 × 976.84
  4. Step 4: Simplify right side
    1,950.76x = 2,858,526.89
  5. Step 5: Solve for x
    x = 2,858,526.89/1,950.76
  6. Step 6: Final answer
    x = 1,465.34

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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.