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Finding the Fourth Proportional to 1,645, 2,273.34 and 1,470.04

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Solution

The fourth proportional to 1,645, 2,273.34 and 1,470.04 is: 2,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645 : 2,273.34 = 1,470.04 : x
  2. Step 2: Convert to fraction form
    1,645/2,273.34 = 1,470.04/x
  3. Step 3: Cross multiply
    1,645x = 2,273.34 × 1,470.04
  4. Step 4: Simplify right side
    1,645x = 3,341,900.73
  5. Step 5: Solve for x
    x = 3,341,900.73/1,645
  6. Step 6: Final answer
    x = 2,031.55

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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.