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Finding the Fourth Proportional to 2,014.79, 3,023.40 and 782.33

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Solution

The fourth proportional to 2,014.79, 3,023.40 and 782.33 is: 1,173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.79 : 3,023.40 = 782.33 : x
  2. Step 2: Convert to fraction form
    2,014.79/3,023.40 = 782.33/x
  3. Step 3: Cross multiply
    2,014.79x = 3,023.40 × 782.33
  4. Step 4: Simplify right side
    2,014.79x = 2,365,296.52
  5. Step 5: Solve for x
    x = 2,365,296.52/2,014.79
  6. Step 6: Final answer
    x = 1,173.97

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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.