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Finding the Fourth Proportional to 1,503.83, 2,251.64 and 1,271.46

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Solution

The fourth proportional to 1,503.83, 2,251.64 and 1,271.46 is: 1,903.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.83 : 2,251.64 = 1,271.46 : x
  2. Step 2: Convert to fraction form
    1,503.83/2,251.64 = 1,271.46/x
  3. Step 3: Cross multiply
    1,503.83x = 2,251.64 × 1,271.46
  4. Step 4: Simplify right side
    1,503.83x = 2,862,863.84
  5. Step 5: Solve for x
    x = 2,862,863.84/1,503.83
  6. Step 6: Final answer
    x = 1,903.72

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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.