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Finding the Fourth Proportional to 2,887.81, 3,985.79 and 1,824.90

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Solution

The fourth proportional to 2,887.81, 3,985.79 and 1,824.90 is: 2,518.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.81 : 3,985.79 = 1,824.90 : x
  2. Step 2: Convert to fraction form
    2,887.81/3,985.79 = 1,824.90/x
  3. Step 3: Cross multiply
    2,887.81x = 3,985.79 × 1,824.90
  4. Step 4: Simplify right side
    2,887.81x = 7,273,639.12
  5. Step 5: Solve for x
    x = 7,273,639.12/2,887.81
  6. Step 6: Final answer
    x = 2,518.74

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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.