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Finding the Fourth Proportional to 1,332.63, 1,825.72 and 1,282.76

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Solution

The fourth proportional to 1,332.63, 1,825.72 and 1,282.76 is: 1,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.63 : 1,825.72 = 1,282.76 : x
  2. Step 2: Convert to fraction form
    1,332.63/1,825.72 = 1,282.76/x
  3. Step 3: Cross multiply
    1,332.63x = 1,825.72 × 1,282.76
  4. Step 4: Simplify right side
    1,332.63x = 2,341,954.17
  5. Step 5: Solve for x
    x = 2,341,954.17/1,332.63
  6. Step 6: Final answer
    x = 1,757.39

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.