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Finding the Fourth Proportional to 1,811.57, 2,499.86 and 1,025.60

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Solution

The fourth proportional to 1,811.57, 2,499.86 and 1,025.60 is: 1,415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.57 : 2,499.86 = 1,025.60 : x
  2. Step 2: Convert to fraction form
    1,811.57/2,499.86 = 1,025.60/x
  3. Step 3: Cross multiply
    1,811.57x = 2,499.86 × 1,025.60
  4. Step 4: Simplify right side
    1,811.57x = 2,563,846.48
  5. Step 5: Solve for x
    x = 2,563,846.48/1,811.57
  6. Step 6: Final answer
    x = 1,415.27

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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.