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Finding the Fourth Proportional to 2,004.74, 2,763.65 and 1,557.21

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Solution

The fourth proportional to 2,004.74, 2,763.65 and 1,557.21 is: 2,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.74 : 2,763.65 = 1,557.21 : x
  2. Step 2: Convert to fraction form
    2,004.74/2,763.65 = 1,557.21/x
  3. Step 3: Cross multiply
    2,004.74x = 2,763.65 × 1,557.21
  4. Step 4: Simplify right side
    2,004.74x = 4,303,575.63
  5. Step 5: Solve for x
    x = 4,303,575.63/2,004.74
  6. Step 6: Final answer
    x = 2,146.71

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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.