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Finding the Fourth Proportional to 2,124.58, 2,930.94 and 1,416.24

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Solution

The fourth proportional to 2,124.58, 2,930.94 and 1,416.24 is: 1,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.58 : 2,930.94 = 1,416.24 : x
  2. Step 2: Convert to fraction form
    2,124.58/2,930.94 = 1,416.24/x
  3. Step 3: Cross multiply
    2,124.58x = 2,930.94 × 1,416.24
  4. Step 4: Simplify right side
    2,124.58x = 4,150,914.47
  5. Step 5: Solve for x
    x = 4,150,914.47/2,124.58
  6. Step 6: Final answer
    x = 1,953.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.