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Finding the Fourth Proportional to 2,308.03, 3,460.65 and 921.58

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Solution

The fourth proportional to 2,308.03, 3,460.65 and 921.58 is: 1,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.03 : 3,460.65 = 921.58 : x
  2. Step 2: Convert to fraction form
    2,308.03/3,460.65 = 921.58/x
  3. Step 3: Cross multiply
    2,308.03x = 3,460.65 × 921.58
  4. Step 4: Simplify right side
    2,308.03x = 3,189,265.83
  5. Step 5: Solve for x
    x = 3,189,265.83/2,308.03
  6. Step 6: Final answer
    x = 1,381.81

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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.