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Finding the Fourth Proportional to 1,611.12, 2,417.34 and 637.92

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Solution

The fourth proportional to 1,611.12, 2,417.34 and 637.92 is: 957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.12 : 2,417.34 = 637.92 : x
  2. Step 2: Convert to fraction form
    1,611.12/2,417.34 = 637.92/x
  3. Step 3: Cross multiply
    1,611.12x = 2,417.34 × 637.92
  4. Step 4: Simplify right side
    1,611.12x = 1,542,069.53
  5. Step 5: Solve for x
    x = 1,542,069.53/1,611.12
  6. Step 6: Final answer
    x = 957.14

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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.