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Finding the Fourth Proportional to 2,308.51, 3,459.89 and 1,154.59

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Solution

The fourth proportional to 2,308.51, 3,459.89 and 1,154.59 is: 1,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.51 : 3,459.89 = 1,154.59 : x
  2. Step 2: Convert to fraction form
    2,308.51/3,459.89 = 1,154.59/x
  3. Step 3: Cross multiply
    2,308.51x = 3,459.89 × 1,154.59
  4. Step 4: Simplify right side
    2,308.51x = 3,994,748.62
  5. Step 5: Solve for x
    x = 3,994,748.62/2,308.51
  6. Step 6: Final answer
    x = 1,730.44

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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.