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Finding the Fourth Proportional to 1,756.62, 2,423.12 and 1,425.33

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Solution

The fourth proportional to 1,756.62, 2,423.12 and 1,425.33 is: 1,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.62 : 2,423.12 = 1,425.33 : x
  2. Step 2: Convert to fraction form
    1,756.62/2,423.12 = 1,425.33/x
  3. Step 3: Cross multiply
    1,756.62x = 2,423.12 × 1,425.33
  4. Step 4: Simplify right side
    1,756.62x = 3,453,738.50
  5. Step 5: Solve for x
    x = 3,453,738.50/1,756.62
  6. Step 6: Final answer
    x = 1,966.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.