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Finding the Fourth Proportional to 1,276.78, 1,925.79 and 1,124.61

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Solution

The fourth proportional to 1,276.78, 1,925.79 and 1,124.61 is: 1,696.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.78 : 1,925.79 = 1,124.61 : x
  2. Step 2: Convert to fraction form
    1,276.78/1,925.79 = 1,124.61/x
  3. Step 3: Cross multiply
    1,276.78x = 1,925.79 × 1,124.61
  4. Step 4: Simplify right side
    1,276.78x = 2,165,762.69
  5. Step 5: Solve for x
    x = 2,165,762.69/1,276.78
  6. Step 6: Final answer
    x = 1,696.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.