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Finding the Fourth Proportional to 2,973.84, 4,460.22 and 782.43

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Solution

The fourth proportional to 2,973.84, 4,460.22 and 782.43 is: 1,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.84 : 4,460.22 = 782.43 : x
  2. Step 2: Convert to fraction form
    2,973.84/4,460.22 = 782.43/x
  3. Step 3: Cross multiply
    2,973.84x = 4,460.22 × 782.43
  4. Step 4: Simplify right side
    2,973.84x = 3,489,809.93
  5. Step 5: Solve for x
    x = 3,489,809.93/2,973.84
  6. Step 6: Final answer
    x = 1,173.50

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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.