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Finding the Fourth Proportional to 2,148.60, 3,239.47 and 2,135.28

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Solution

The fourth proportional to 2,148.60, 3,239.47 and 2,135.28 is: 3,219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.60 : 3,239.47 = 2,135.28 : x
  2. Step 2: Convert to fraction form
    2,148.60/3,239.47 = 2,135.28/x
  3. Step 3: Cross multiply
    2,148.60x = 3,239.47 × 2,135.28
  4. Step 4: Simplify right side
    2,148.60x = 6,917,175.50
  5. Step 5: Solve for x
    x = 6,917,175.50/2,148.60
  6. Step 6: Final answer
    x = 3,219.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.