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Finding the Fourth Proportional to 3,089.34, 4,634.01 and 1,359.18

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Solution

The fourth proportional to 3,089.34, 4,634.01 and 1,359.18 is: 2,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.34 : 4,634.01 = 1,359.18 : x
  2. Step 2: Convert to fraction form
    3,089.34/4,634.01 = 1,359.18/x
  3. Step 3: Cross multiply
    3,089.34x = 4,634.01 × 1,359.18
  4. Step 4: Simplify right side
    3,089.34x = 6,298,453.71
  5. Step 5: Solve for x
    x = 6,298,453.71/3,089.34
  6. Step 6: Final answer
    x = 2,038.77

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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.