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Finding the Fourth Proportional to 1,495.96, 2,241.57 and 1,263.76

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Solution

The fourth proportional to 1,495.96, 2,241.57 and 1,263.76 is: 1,893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.96 : 2,241.57 = 1,263.76 : x
  2. Step 2: Convert to fraction form
    1,495.96/2,241.57 = 1,263.76/x
  3. Step 3: Cross multiply
    1,495.96x = 2,241.57 × 1,263.76
  4. Step 4: Simplify right side
    1,495.96x = 2,832,806.50
  5. Step 5: Solve for x
    x = 2,832,806.50/1,495.96
  6. Step 6: Final answer
    x = 1,893.64

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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.