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Finding the Fourth Proportional to 1,913.34, 2,640.43 and 1,074.22

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Solution

The fourth proportional to 1,913.34, 2,640.43 and 1,074.22 is: 1,482.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.34 : 2,640.43 = 1,074.22 : x
  2. Step 2: Convert to fraction form
    1,913.34/2,640.43 = 1,074.22/x
  3. Step 3: Cross multiply
    1,913.34x = 2,640.43 × 1,074.22
  4. Step 4: Simplify right side
    1,913.34x = 2,836,402.71
  5. Step 5: Solve for x
    x = 2,836,402.71/1,913.34
  6. Step 6: Final answer
    x = 1,482.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.