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Finding the Fourth Proportional to 1,918.26, 2,874.56 and 945.06

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Solution

The fourth proportional to 1,918.26, 2,874.56 and 945.06 is: 1,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.26 : 2,874.56 = 945.06 : x
  2. Step 2: Convert to fraction form
    1,918.26/2,874.56 = 945.06/x
  3. Step 3: Cross multiply
    1,918.26x = 2,874.56 × 945.06
  4. Step 4: Simplify right side
    1,918.26x = 2,716,631.67
  5. Step 5: Solve for x
    x = 2,716,631.67/1,918.26
  6. Step 6: Final answer
    x = 1,416.20

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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.