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Finding the Fourth Proportional to 1,943.86, 2,683.10 and 1,354.58

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Solution

The fourth proportional to 1,943.86, 2,683.10 and 1,354.58 is: 1,869.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.86 : 2,683.10 = 1,354.58 : x
  2. Step 2: Convert to fraction form
    1,943.86/2,683.10 = 1,354.58/x
  3. Step 3: Cross multiply
    1,943.86x = 2,683.10 × 1,354.58
  4. Step 4: Simplify right side
    1,943.86x = 3,634,473.60
  5. Step 5: Solve for x
    x = 3,634,473.60/1,943.86
  6. Step 6: Final answer
    x = 1,869.72

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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.