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Finding the Fourth Proportional to 1,762.14, 2,428.38 and 1,263.90

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Solution

The fourth proportional to 1,762.14, 2,428.38 and 1,263.90 is: 1,741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.14 : 2,428.38 = 1,263.90 : x
  2. Step 2: Convert to fraction form
    1,762.14/2,428.38 = 1,263.90/x
  3. Step 3: Cross multiply
    1,762.14x = 2,428.38 × 1,263.90
  4. Step 4: Simplify right side
    1,762.14x = 3,069,229.48
  5. Step 5: Solve for x
    x = 3,069,229.48/1,762.14
  6. Step 6: Final answer
    x = 1,741.76

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Why These Related Problems?

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