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Finding the Fourth Proportional to 2,785.84, 4,180.36 and 1,054.40

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Solution

The fourth proportional to 2,785.84, 4,180.36 and 1,054.40 is: 1,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.84 : 4,180.36 = 1,054.40 : x
  2. Step 2: Convert to fraction form
    2,785.84/4,180.36 = 1,054.40/x
  3. Step 3: Cross multiply
    2,785.84x = 4,180.36 × 1,054.40
  4. Step 4: Simplify right side
    2,785.84x = 4,407,771.58
  5. Step 5: Solve for x
    x = 4,407,771.58/2,785.84
  6. Step 6: Final answer
    x = 1,582.21

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