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Finding the Fourth Proportional to 2,854.40, 3,999.40 and 2,854.40

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Solution

The fourth proportional to 2,854.40, 3,999.40 and 2,854.40 is: 3,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.40 : 3,999.40 = 2,854.40 : x
  2. Step 2: Convert to fraction form
    2,854.40/3,999.40 = 2,854.40/x
  3. Step 3: Cross multiply
    2,854.40x = 3,999.40 × 2,854.40
  4. Step 4: Simplify right side
    2,854.40x = 11,415,887.36
  5. Step 5: Solve for x
    x = 11,415,887.36/2,854.40
  6. Step 6: Final answer
    x = 3,999.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.