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Finding the Fourth Proportional to 1,811.52, 2,714.22 and 1,537.56

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Solution

The fourth proportional to 1,811.52, 2,714.22 and 1,537.56 is: 2,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.52 : 2,714.22 = 1,537.56 : x
  2. Step 2: Convert to fraction form
    1,811.52/2,714.22 = 1,537.56/x
  3. Step 3: Cross multiply
    1,811.52x = 2,714.22 × 1,537.56
  4. Step 4: Simplify right side
    1,811.52x = 4,173,276.10
  5. Step 5: Solve for x
    x = 4,173,276.10/1,811.52
  6. Step 6: Final answer
    x = 2,303.74

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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.