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Finding the Fourth Proportional to 2,339.85, 3,505.05 and 1,459.65

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Solution

The fourth proportional to 2,339.85, 3,505.05 and 1,459.65 is: 2,186.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.85 : 3,505.05 = 1,459.65 : x
  2. Step 2: Convert to fraction form
    2,339.85/3,505.05 = 1,459.65/x
  3. Step 3: Cross multiply
    2,339.85x = 3,505.05 × 1,459.65
  4. Step 4: Simplify right side
    2,339.85x = 5,116,146.23
  5. Step 5: Solve for x
    x = 5,116,146.23/2,339.85
  6. Step 6: Final answer
    x = 2,186.53

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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.