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Finding the Fourth Proportional to 1,416.86, 2,124.08 and 1,107.76

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Solution

The fourth proportional to 1,416.86, 2,124.08 and 1,107.76 is: 1,660.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.86 : 2,124.08 = 1,107.76 : x
  2. Step 2: Convert to fraction form
    1,416.86/2,124.08 = 1,107.76/x
  3. Step 3: Cross multiply
    1,416.86x = 2,124.08 × 1,107.76
  4. Step 4: Simplify right side
    1,416.86x = 2,352,970.86
  5. Step 5: Solve for x
    x = 2,352,970.86/1,416.86
  6. Step 6: Final answer
    x = 1,660.69

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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.