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Finding the Fourth Proportional to 1,894.63, 2,614.58 and 1,108.66

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Solution

The fourth proportional to 1,894.63, 2,614.58 and 1,108.66 is: 1,529.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.63 : 2,614.58 = 1,108.66 : x
  2. Step 2: Convert to fraction form
    1,894.63/2,614.58 = 1,108.66/x
  3. Step 3: Cross multiply
    1,894.63x = 2,614.58 × 1,108.66
  4. Step 4: Simplify right side
    1,894.63x = 2,898,674.72
  5. Step 5: Solve for x
    x = 2,898,674.72/1,894.63
  6. Step 6: Final answer
    x = 1,529.94

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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.