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Finding the Fourth Proportional to 2,973.89, 4,460.85 and 782.44

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Solution

The fourth proportional to 2,973.89, 4,460.85 and 782.44 is: 1,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.89 : 4,460.85 = 782.44 : x
  2. Step 2: Convert to fraction form
    2,973.89/4,460.85 = 782.44/x
  3. Step 3: Cross multiply
    2,973.89x = 4,460.85 × 782.44
  4. Step 4: Simplify right side
    2,973.89x = 3,490,336.32
  5. Step 5: Solve for x
    x = 3,490,336.32/2,973.89
  6. Step 6: Final answer
    x = 1,173.66

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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.