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Finding the Fourth Proportional to 1,475.46, 2,035.26 and 950.58

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Solution

The fourth proportional to 1,475.46, 2,035.26 and 950.58 is: 1,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.46 : 2,035.26 = 950.58 : x
  2. Step 2: Convert to fraction form
    1,475.46/2,035.26 = 950.58/x
  3. Step 3: Cross multiply
    1,475.46x = 2,035.26 × 950.58
  4. Step 4: Simplify right side
    1,475.46x = 1,934,677.45
  5. Step 5: Solve for x
    x = 1,934,677.45/1,475.46
  6. Step 6: Final answer
    x = 1,311.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.