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Finding the Fourth Proportional to 2,860.94, 4,291.56 and 913.30

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Solution

The fourth proportional to 2,860.94, 4,291.56 and 913.30 is: 1,370.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.94 : 4,291.56 = 913.30 : x
  2. Step 2: Convert to fraction form
    2,860.94/4,291.56 = 913.30/x
  3. Step 3: Cross multiply
    2,860.94x = 4,291.56 × 913.30
  4. Step 4: Simplify right side
    2,860.94x = 3,919,481.75
  5. Step 5: Solve for x
    x = 3,919,481.75/2,860.94
  6. Step 6: Final answer
    x = 1,370.00

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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.