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Finding the Fourth Proportional to 1,773.86, 2,448.58 and 1,524.18

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Solution

The fourth proportional to 1,773.86, 2,448.58 and 1,524.18 is: 2,103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.86 : 2,448.58 = 1,524.18 : x
  2. Step 2: Convert to fraction form
    1,773.86/2,448.58 = 1,524.18/x
  3. Step 3: Cross multiply
    1,773.86x = 2,448.58 × 1,524.18
  4. Step 4: Simplify right side
    1,773.86x = 3,732,076.66
  5. Step 5: Solve for x
    x = 3,732,076.66/1,773.86
  6. Step 6: Final answer
    x = 2,103.93

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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.