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Finding the Fourth Proportional to 2,537.70, 3,803.52 and 1,305.70

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Solution

The fourth proportional to 2,537.70, 3,803.52 and 1,305.70 is: 1,956.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.70 : 3,803.52 = 1,305.70 : x
  2. Step 2: Convert to fraction form
    2,537.70/3,803.52 = 1,305.70/x
  3. Step 3: Cross multiply
    2,537.70x = 3,803.52 × 1,305.70
  4. Step 4: Simplify right side
    2,537.70x = 4,966,256.06
  5. Step 5: Solve for x
    x = 4,966,256.06/2,537.70
  6. Step 6: Final answer
    x = 1,956.99

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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.