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Finding the Fourth Proportional to 1,675.12, 2,515.56 and 906.16

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Solution

The fourth proportional to 1,675.12, 2,515.56 and 906.16 is: 1,360.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.12 : 2,515.56 = 906.16 : x
  2. Step 2: Convert to fraction form
    1,675.12/2,515.56 = 906.16/x
  3. Step 3: Cross multiply
    1,675.12x = 2,515.56 × 906.16
  4. Step 4: Simplify right side
    1,675.12x = 2,279,499.85
  5. Step 5: Solve for x
    x = 2,279,499.85/1,675.12
  6. Step 6: Final answer
    x = 1,360.80

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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.