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Finding the Fourth Proportional to 2,329, 3,494.86 and 1,030.60

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Solution

The fourth proportional to 2,329, 3,494.86 and 1,030.60 is: 1,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329 : 3,494.86 = 1,030.60 : x
  2. Step 2: Convert to fraction form
    2,329/3,494.86 = 1,030.60/x
  3. Step 3: Cross multiply
    2,329x = 3,494.86 × 1,030.60
  4. Step 4: Simplify right side
    2,329x = 3,601,802.72
  5. Step 5: Solve for x
    x = 3,601,802.72/2,329
  6. Step 6: Final answer
    x = 1,546.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.