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Finding the Fourth Proportional to 1,820.56, 2,743.12 and 1,503.04

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Solution

The fourth proportional to 1,820.56, 2,743.12 and 1,503.04 is: 2,264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.56 : 2,743.12 = 1,503.04 : x
  2. Step 2: Convert to fraction form
    1,820.56/2,743.12 = 1,503.04/x
  3. Step 3: Cross multiply
    1,820.56x = 2,743.12 × 1,503.04
  4. Step 4: Simplify right side
    1,820.56x = 4,123,019.08
  5. Step 5: Solve for x
    x = 4,123,019.08/1,820.56
  6. Step 6: Final answer
    x = 2,264.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.