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Finding the Fourth Proportional to 1,742.84, 2,405.58 and 1,044.44

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Solution

The fourth proportional to 1,742.84, 2,405.58 and 1,044.44 is: 1,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.84 : 2,405.58 = 1,044.44 : x
  2. Step 2: Convert to fraction form
    1,742.84/2,405.58 = 1,044.44/x
  3. Step 3: Cross multiply
    1,742.84x = 2,405.58 × 1,044.44
  4. Step 4: Simplify right side
    1,742.84x = 2,512,483.98
  5. Step 5: Solve for x
    x = 2,512,483.98/1,742.84
  6. Step 6: Final answer
    x = 1,441.60

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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.