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Finding the Fourth Proportional to 2,784.81, 4,173.57 and 1,552.80

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Solution

The fourth proportional to 2,784.81, 4,173.57 and 1,552.80 is: 2,327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.81 : 4,173.57 = 1,552.80 : x
  2. Step 2: Convert to fraction form
    2,784.81/4,173.57 = 1,552.80/x
  3. Step 3: Cross multiply
    2,784.81x = 4,173.57 × 1,552.80
  4. Step 4: Simplify right side
    2,784.81x = 6,480,719.50
  5. Step 5: Solve for x
    x = 6,480,719.50/2,784.81
  6. Step 6: Final answer
    x = 2,327.17

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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.