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Finding the Fourth Proportional to 1,950.02, 2,926.12 and 795.50

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Solution

The fourth proportional to 1,950.02, 2,926.12 and 795.50 is: 1,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.02 : 2,926.12 = 795.50 : x
  2. Step 2: Convert to fraction form
    1,950.02/2,926.12 = 795.50/x
  3. Step 3: Cross multiply
    1,950.02x = 2,926.12 × 795.50
  4. Step 4: Simplify right side
    1,950.02x = 2,327,728.46
  5. Step 5: Solve for x
    x = 2,327,728.46/1,950.02
  6. Step 6: Final answer
    x = 1,193.69

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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.