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Finding the Fourth Proportional to 1,913.40, 2,642.31 and 1,284.42

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Solution

The fourth proportional to 1,913.40, 2,642.31 and 1,284.42 is: 1,773.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.40 : 2,642.31 = 1,284.42 : x
  2. Step 2: Convert to fraction form
    1,913.40/2,642.31 = 1,284.42/x
  3. Step 3: Cross multiply
    1,913.40x = 2,642.31 × 1,284.42
  4. Step 4: Simplify right side
    1,913.40x = 3,393,835.81
  5. Step 5: Solve for x
    x = 3,393,835.81/1,913.40
  6. Step 6: Final answer
    x = 1,773.72

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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.