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Finding the Fourth Proportional to 2,166.59, 3,250.04 and 741.26

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Solution

The fourth proportional to 2,166.59, 3,250.04 and 741.26 is: 1,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.59 : 3,250.04 = 741.26 : x
  2. Step 2: Convert to fraction form
    2,166.59/3,250.04 = 741.26/x
  3. Step 3: Cross multiply
    2,166.59x = 3,250.04 × 741.26
  4. Step 4: Simplify right side
    2,166.59x = 2,409,124.65
  5. Step 5: Solve for x
    x = 2,409,124.65/2,166.59
  6. Step 6: Final answer
    x = 1,111.94

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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.