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Finding the Fourth Proportional to 1,823.42, 2,519.72 and 1,491.72

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Solution

The fourth proportional to 1,823.42, 2,519.72 and 1,491.72 is: 2,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.42 : 2,519.72 = 1,491.72 : x
  2. Step 2: Convert to fraction form
    1,823.42/2,519.72 = 1,491.72/x
  3. Step 3: Cross multiply
    1,823.42x = 2,519.72 × 1,491.72
  4. Step 4: Simplify right side
    1,823.42x = 3,758,714.85
  5. Step 5: Solve for x
    x = 3,758,714.85/1,823.42
  6. Step 6: Final answer
    x = 2,061.36

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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.