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Finding the Fourth Proportional to 1,506.12, 2,258.74 and 889.68

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Solution

The fourth proportional to 1,506.12, 2,258.74 and 889.68 is: 1,334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.12 : 2,258.74 = 889.68 : x
  2. Step 2: Convert to fraction form
    1,506.12/2,258.74 = 889.68/x
  3. Step 3: Cross multiply
    1,506.12x = 2,258.74 × 889.68
  4. Step 4: Simplify right side
    1,506.12x = 2,009,555.80
  5. Step 5: Solve for x
    x = 2,009,555.80/1,506.12
  6. Step 6: Final answer
    x = 1,334.26

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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.