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Finding the Fourth Proportional to 2,003.63, 2,758.46 and 1,741.55

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Solution

The fourth proportional to 2,003.63, 2,758.46 and 1,741.55 is: 2,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.63 : 2,758.46 = 1,741.55 : x
  2. Step 2: Convert to fraction form
    2,003.63/2,758.46 = 1,741.55/x
  3. Step 3: Cross multiply
    2,003.63x = 2,758.46 × 1,741.55
  4. Step 4: Simplify right side
    2,003.63x = 4,803,973.51
  5. Step 5: Solve for x
    x = 4,803,973.51/2,003.63
  6. Step 6: Final answer
    x = 2,397.64

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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.