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Finding the Fourth Proportional to 2,971.74, 4,458.64 and 1,329.42

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Solution

The fourth proportional to 2,971.74, 4,458.64 and 1,329.42 is: 1,994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.74 : 4,458.64 = 1,329.42 : x
  2. Step 2: Convert to fraction form
    2,971.74/4,458.64 = 1,329.42/x
  3. Step 3: Cross multiply
    2,971.74x = 4,458.64 × 1,329.42
  4. Step 4: Simplify right side
    2,971.74x = 5,927,405.19
  5. Step 5: Solve for x
    x = 5,927,405.19/2,971.74
  6. Step 6: Final answer
    x = 1,994.59

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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.