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Finding the Fourth Proportional to 1,950.48, 2,926.13 and 1,025.53

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Solution

The fourth proportional to 1,950.48, 2,926.13 and 1,025.53 is: 1,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.48 : 2,926.13 = 1,025.53 : x
  2. Step 2: Convert to fraction form
    1,950.48/2,926.13 = 1,025.53/x
  3. Step 3: Cross multiply
    1,950.48x = 2,926.13 × 1,025.53
  4. Step 4: Simplify right side
    1,950.48x = 3,000,821.66
  5. Step 5: Solve for x
    x = 3,000,821.66/1,950.48
  6. Step 6: Final answer
    x = 1,538.50

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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.