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Finding the Fourth Proportional to 3,090.76, 4,637 and 1,629.52

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Solution

The fourth proportional to 3,090.76, 4,637 and 1,629.52 is: 2,444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.76 : 4,637 = 1,629.52 : x
  2. Step 2: Convert to fraction form
    3,090.76/4,637 = 1,629.52/x
  3. Step 3: Cross multiply
    3,090.76x = 4,637 × 1,629.52
  4. Step 4: Simplify right side
    3,090.76x = 7,556,084.24
  5. Step 5: Solve for x
    x = 7,556,084.24/3,090.76
  6. Step 6: Final answer
    x = 2,444.73

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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.