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Finding the Fourth Proportional to 1,756.35, 2,630.88 and 1,428.30

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Solution

The fourth proportional to 1,756.35, 2,630.88 and 1,428.30 is: 2,139.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.35 : 2,630.88 = 1,428.30 : x
  2. Step 2: Convert to fraction form
    1,756.35/2,630.88 = 1,428.30/x
  3. Step 3: Cross multiply
    1,756.35x = 2,630.88 × 1,428.30
  4. Step 4: Simplify right side
    1,756.35x = 3,757,685.90
  5. Step 5: Solve for x
    x = 3,757,685.90/1,756.35
  6. Step 6: Final answer
    x = 2,139.49

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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.