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Finding the Fourth Proportional to 1,627.55, 2,245.99 and 929.06

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Solution

The fourth proportional to 1,627.55, 2,245.99 and 929.06 is: 1,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.55 : 2,245.99 = 929.06 : x
  2. Step 2: Convert to fraction form
    1,627.55/2,245.99 = 929.06/x
  3. Step 3: Cross multiply
    1,627.55x = 2,245.99 × 929.06
  4. Step 4: Simplify right side
    1,627.55x = 2,086,643.59
  5. Step 5: Solve for x
    x = 2,086,643.59/1,627.55
  6. Step 6: Final answer
    x = 1,282.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.