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Finding the Fourth Proportional to 1,926.52, 2,886.42 and 950.20

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Solution

The fourth proportional to 1,926.52, 2,886.42 and 950.20 is: 1,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.52 : 2,886.42 = 950.20 : x
  2. Step 2: Convert to fraction form
    1,926.52/2,886.42 = 950.20/x
  3. Step 3: Cross multiply
    1,926.52x = 2,886.42 × 950.20
  4. Step 4: Simplify right side
    1,926.52x = 2,742,676.28
  5. Step 5: Solve for x
    x = 2,742,676.28/1,926.52
  6. Step 6: Final answer
    x = 1,423.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.