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Finding the Fourth Proportional to 1,835.42, 2,752.11 and 738.51

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Solution

The fourth proportional to 1,835.42, 2,752.11 and 738.51 is: 1,107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.42 : 2,752.11 = 738.51 : x
  2. Step 2: Convert to fraction form
    1,835.42/2,752.11 = 738.51/x
  3. Step 3: Cross multiply
    1,835.42x = 2,752.11 × 738.51
  4. Step 4: Simplify right side
    1,835.42x = 2,032,460.76
  5. Step 5: Solve for x
    x = 2,032,460.76/1,835.42
  6. Step 6: Final answer
    x = 1,107.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.