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Finding the Fourth Proportional to 2,752.62, 4,130.09 and 1,713.49

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Solution

The fourth proportional to 2,752.62, 4,130.09 and 1,713.49 is: 2,570.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.62 : 4,130.09 = 1,713.49 : x
  2. Step 2: Convert to fraction form
    2,752.62/4,130.09 = 1,713.49/x
  3. Step 3: Cross multiply
    2,752.62x = 4,130.09 × 1,713.49
  4. Step 4: Simplify right side
    2,752.62x = 7,076,884.47
  5. Step 5: Solve for x
    x = 7,076,884.47/2,752.62
  6. Step 6: Final answer
    x = 2,570.96

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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.