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Finding the Fourth Proportional to 1,823.52, 2,516.64 and 1,037.60

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Solution

The fourth proportional to 1,823.52, 2,516.64 and 1,037.60 is: 1,431.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.52 : 2,516.64 = 1,037.60 : x
  2. Step 2: Convert to fraction form
    1,823.52/2,516.64 = 1,037.60/x
  3. Step 3: Cross multiply
    1,823.52x = 2,516.64 × 1,037.60
  4. Step 4: Simplify right side
    1,823.52x = 2,611,265.66
  5. Step 5: Solve for x
    x = 2,611,265.66/1,823.52
  6. Step 6: Final answer
    x = 1,431.99

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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.