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Finding the Fourth Proportional to 1,892.65, 2,612.08 and 1,146.59

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Solution

The fourth proportional to 1,892.65, 2,612.08 and 1,146.59 is: 1,582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.65 : 2,612.08 = 1,146.59 : x
  2. Step 2: Convert to fraction form
    1,892.65/2,612.08 = 1,146.59/x
  3. Step 3: Cross multiply
    1,892.65x = 2,612.08 × 1,146.59
  4. Step 4: Simplify right side
    1,892.65x = 2,994,971.75
  5. Step 5: Solve for x
    x = 2,994,971.75/1,892.65
  6. Step 6: Final answer
    x = 1,582.43

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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.