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Finding the Fourth Proportional to 1,848.35, 2,550.71 and 1,009.05

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Solution

The fourth proportional to 1,848.35, 2,550.71 and 1,009.05 is: 1,392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.35 : 2,550.71 = 1,009.05 : x
  2. Step 2: Convert to fraction form
    1,848.35/2,550.71 = 1,009.05/x
  3. Step 3: Cross multiply
    1,848.35x = 2,550.71 × 1,009.05
  4. Step 4: Simplify right side
    1,848.35x = 2,573,793.93
  5. Step 5: Solve for x
    x = 2,573,793.93/1,848.35
  6. Step 6: Final answer
    x = 1,392.48

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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.