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Finding the Fourth Proportional to 3,009.34, 4,513 and 1,160.31

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Solution

The fourth proportional to 3,009.34, 4,513 and 1,160.31 is: 1,740.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.34 : 4,513 = 1,160.31 : x
  2. Step 2: Convert to fraction form
    3,009.34/4,513 = 1,160.31/x
  3. Step 3: Cross multiply
    3,009.34x = 4,513 × 1,160.31
  4. Step 4: Simplify right side
    3,009.34x = 5,236,479.03
  5. Step 5: Solve for x
    x = 5,236,479.03/3,009.34
  6. Step 6: Final answer
    x = 1,740.08

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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.