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Finding the Fourth Proportional to 2,854.65, 3,999.75 and 2,854.65

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Solution

The fourth proportional to 2,854.65, 3,999.75 and 2,854.65 is: 3,999.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.65 : 3,999.75 = 2,854.65 : x
  2. Step 2: Convert to fraction form
    2,854.65/3,999.75 = 2,854.65/x
  3. Step 3: Cross multiply
    2,854.65x = 3,999.75 × 2,854.65
  4. Step 4: Simplify right side
    2,854.65x = 11,417,886.34
  5. Step 5: Solve for x
    x = 11,417,886.34/2,854.65
  6. Step 6: Final answer
    x = 3,999.75

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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.