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Finding the Fourth Proportional to 1,904.60, 2,628.42 and 1,065.34

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Solution

The fourth proportional to 1,904.60, 2,628.42 and 1,065.34 is: 1,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.60 : 2,628.42 = 1,065.34 : x
  2. Step 2: Convert to fraction form
    1,904.60/2,628.42 = 1,065.34/x
  3. Step 3: Cross multiply
    1,904.60x = 2,628.42 × 1,065.34
  4. Step 4: Simplify right side
    1,904.60x = 2,800,160.25
  5. Step 5: Solve for x
    x = 2,800,160.25/1,904.60
  6. Step 6: Final answer
    x = 1,470.21

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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.