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Finding the Fourth Proportional to 1,830.16, 2,744.70 and 1,008.82

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Solution

The fourth proportional to 1,830.16, 2,744.70 and 1,008.82 is: 1,512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.16 : 2,744.70 = 1,008.82 : x
  2. Step 2: Convert to fraction form
    1,830.16/2,744.70 = 1,008.82/x
  3. Step 3: Cross multiply
    1,830.16x = 2,744.70 × 1,008.82
  4. Step 4: Simplify right side
    1,830.16x = 2,768,908.25
  5. Step 5: Solve for x
    x = 2,768,908.25/1,830.16
  6. Step 6: Final answer
    x = 1,512.93

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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.