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Finding the Fourth Proportional to 2,714.70, 4,072.05 and 2,532.45

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Solution

The fourth proportional to 2,714.70, 4,072.05 and 2,532.45 is: 3,798.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.70 : 4,072.05 = 2,532.45 : x
  2. Step 2: Convert to fraction form
    2,714.70/4,072.05 = 2,532.45/x
  3. Step 3: Cross multiply
    2,714.70x = 4,072.05 × 2,532.45
  4. Step 4: Simplify right side
    2,714.70x = 10,312,263.02
  5. Step 5: Solve for x
    x = 10,312,263.02/2,714.70
  6. Step 6: Final answer
    x = 3,798.68

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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.