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Finding the Fourth Proportional to 3,090.42, 4,636.17 and 1,359

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Solution

The fourth proportional to 3,090.42, 4,636.17 and 1,359 is: 2,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.42 : 4,636.17 = 1,359 : x
  2. Step 2: Convert to fraction form
    3,090.42/4,636.17 = 1,359/x
  3. Step 3: Cross multiply
    3,090.42x = 4,636.17 × 1,359
  4. Step 4: Simplify right side
    3,090.42x = 6,300,555.03
  5. Step 5: Solve for x
    x = 6,300,555.03/3,090.42
  6. Step 6: Final answer
    x = 2,038.74

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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.