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Finding the Fourth Proportional to 1,271.44, 1,898.21 and 1,148.68

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Solution

The fourth proportional to 1,271.44, 1,898.21 and 1,148.68 is: 1,714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.44 : 1,898.21 = 1,148.68 : x
  2. Step 2: Convert to fraction form
    1,271.44/1,898.21 = 1,148.68/x
  3. Step 3: Cross multiply
    1,271.44x = 1,898.21 × 1,148.68
  4. Step 4: Simplify right side
    1,271.44x = 2,180,435.86
  5. Step 5: Solve for x
    x = 2,180,435.86/1,271.44
  6. Step 6: Final answer
    x = 1,714.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.