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Finding the Fourth Proportional to 2,571.60, 3,854.16 and 1,416

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Solution

The fourth proportional to 2,571.60, 3,854.16 and 1,416 is: 2,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.60 : 3,854.16 = 1,416 : x
  2. Step 2: Convert to fraction form
    2,571.60/3,854.16 = 1,416/x
  3. Step 3: Cross multiply
    2,571.60x = 3,854.16 × 1,416
  4. Step 4: Simplify right side
    2,571.60x = 5,457,490.56
  5. Step 5: Solve for x
    x = 5,457,490.56/2,571.60
  6. Step 6: Final answer
    x = 2,122.22

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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.