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Finding the Fourth Proportional to 1,262.64, 1,894.50 and 1,155.18

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Solution

The fourth proportional to 1,262.64, 1,894.50 and 1,155.18 is: 1,733.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.64 : 1,894.50 = 1,155.18 : x
  2. Step 2: Convert to fraction form
    1,262.64/1,894.50 = 1,155.18/x
  3. Step 3: Cross multiply
    1,262.64x = 1,894.50 × 1,155.18
  4. Step 4: Simplify right side
    1,262.64x = 2,188,488.51
  5. Step 5: Solve for x
    x = 2,188,488.51/1,262.64
  6. Step 6: Final answer
    x = 1,733.26

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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.