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Finding the Fourth Proportional to 1,830.47, 2,742.26 and 904.95

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Solution

The fourth proportional to 1,830.47, 2,742.26 and 904.95 is: 1,355.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.47 : 2,742.26 = 904.95 : x
  2. Step 2: Convert to fraction form
    1,830.47/2,742.26 = 904.95/x
  3. Step 3: Cross multiply
    1,830.47x = 2,742.26 × 904.95
  4. Step 4: Simplify right side
    1,830.47x = 2,481,608.19
  5. Step 5: Solve for x
    x = 2,481,608.19/1,830.47
  6. Step 6: Final answer
    x = 1,355.72

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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.