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Finding the Fourth Proportional to 3,312.71, 4,571.47 and 1,800.24

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Solution

The fourth proportional to 3,312.71, 4,571.47 and 1,800.24 is: 2,484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.71 : 4,571.47 = 1,800.24 : x
  2. Step 2: Convert to fraction form
    3,312.71/4,571.47 = 1,800.24/x
  3. Step 3: Cross multiply
    3,312.71x = 4,571.47 × 1,800.24
  4. Step 4: Simplify right side
    3,312.71x = 8,229,728.26
  5. Step 5: Solve for x
    x = 8,229,728.26/3,312.71
  6. Step 6: Final answer
    x = 2,484.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.