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Finding the Fourth Proportional to 1,811.47, 2,499.72 and 1,003.77

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Solution

The fourth proportional to 1,811.47, 2,499.72 and 1,003.77 is: 1,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.47 : 2,499.72 = 1,003.77 : x
  2. Step 2: Convert to fraction form
    1,811.47/2,499.72 = 1,003.77/x
  3. Step 3: Cross multiply
    1,811.47x = 2,499.72 × 1,003.77
  4. Step 4: Simplify right side
    1,811.47x = 2,509,143.94
  5. Step 5: Solve for x
    x = 2,509,143.94/1,811.47
  6. Step 6: Final answer
    x = 1,385.14

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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.