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Finding the Fourth Proportional to 1,535.76, 2,298.38 and 950.54

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Solution

The fourth proportional to 1,535.76, 2,298.38 and 950.54 is: 1,422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.76 : 2,298.38 = 950.54 : x
  2. Step 2: Convert to fraction form
    1,535.76/2,298.38 = 950.54/x
  3. Step 3: Cross multiply
    1,535.76x = 2,298.38 × 950.54
  4. Step 4: Simplify right side
    1,535.76x = 2,184,685.88
  5. Step 5: Solve for x
    x = 2,184,685.88/1,535.76
  6. Step 6: Final answer
    x = 1,422.54

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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.