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Finding the Fourth Proportional to 2,505.61, 3,758.63 and 750.49

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Solution

The fourth proportional to 2,505.61, 3,758.63 and 750.49 is: 1,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.61 : 3,758.63 = 750.49 : x
  2. Step 2: Convert to fraction form
    2,505.61/3,758.63 = 750.49/x
  3. Step 3: Cross multiply
    2,505.61x = 3,758.63 × 750.49
  4. Step 4: Simplify right side
    2,505.61x = 2,820,813.76
  5. Step 5: Solve for x
    x = 2,820,813.76/2,505.61
  6. Step 6: Final answer
    x = 1,125.80

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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.