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Finding the Fourth Proportional to 2,854.54, 4,272.45 and 2,460.88

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Solution

The fourth proportional to 2,854.54, 4,272.45 and 2,460.88 is: 3,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.54 : 4,272.45 = 2,460.88 : x
  2. Step 2: Convert to fraction form
    2,854.54/4,272.45 = 2,460.88/x
  3. Step 3: Cross multiply
    2,854.54x = 4,272.45 × 2,460.88
  4. Step 4: Simplify right side
    2,854.54x = 10,513,986.76
  5. Step 5: Solve for x
    x = 10,513,986.76/2,854.54
  6. Step 6: Final answer
    x = 3,683.25

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1.5x scale

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.