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Finding the Fourth Proportional to 2,438.84, 3,658.94 and 795.18

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Solution

The fourth proportional to 2,438.84, 3,658.94 and 795.18 is: 1,193.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.84 : 3,658.94 = 795.18 : x
  2. Step 2: Convert to fraction form
    2,438.84/3,658.94 = 795.18/x
  3. Step 3: Cross multiply
    2,438.84x = 3,658.94 × 795.18
  4. Step 4: Simplify right side
    2,438.84x = 2,909,528.64
  5. Step 5: Solve for x
    x = 2,909,528.64/2,438.84
  6. Step 6: Final answer
    x = 1,193.00

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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.