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Finding the Fourth Proportional to 1,282.92, 1,925.72 and 1,137.60

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Solution

The fourth proportional to 1,282.92, 1,925.72 and 1,137.60 is: 1,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.92 : 1,925.72 = 1,137.60 : x
  2. Step 2: Convert to fraction form
    1,282.92/1,925.72 = 1,137.60/x
  3. Step 3: Cross multiply
    1,282.92x = 1,925.72 × 1,137.60
  4. Step 4: Simplify right side
    1,282.92x = 2,190,699.07
  5. Step 5: Solve for x
    x = 2,190,699.07/1,282.92
  6. Step 6: Final answer
    x = 1,707.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.