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Finding the Fourth Proportional to 3,184.23, 4,776.31 and 992.95

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Solution

The fourth proportional to 3,184.23, 4,776.31 and 992.95 is: 1,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.23 : 4,776.31 = 992.95 : x
  2. Step 2: Convert to fraction form
    3,184.23/4,776.31 = 992.95/x
  3. Step 3: Cross multiply
    3,184.23x = 4,776.31 × 992.95
  4. Step 4: Simplify right side
    3,184.23x = 4,742,637.01
  5. Step 5: Solve for x
    x = 4,742,637.01/3,184.23
  6. Step 6: Final answer
    x = 1,489.41

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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.