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Finding the Fourth Proportional to 1,502.90, 2,074.24 and 913.62

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Solution

The fourth proportional to 1,502.90, 2,074.24 and 913.62 is: 1,260.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.90 : 2,074.24 = 913.62 : x
  2. Step 2: Convert to fraction form
    1,502.90/2,074.24 = 913.62/x
  3. Step 3: Cross multiply
    1,502.90x = 2,074.24 × 913.62
  4. Step 4: Simplify right side
    1,502.90x = 1,895,067.15
  5. Step 5: Solve for x
    x = 1,895,067.15/1,502.90
  6. Step 6: Final answer
    x = 1,260.94

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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.