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Finding the Fourth Proportional to 1,291.94, 1,787.57 and 1,126.50

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Solution

The fourth proportional to 1,291.94, 1,787.57 and 1,126.50 is: 1,558.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.94 : 1,787.57 = 1,126.50 : x
  2. Step 2: Convert to fraction form
    1,291.94/1,787.57 = 1,126.50/x
  3. Step 3: Cross multiply
    1,291.94x = 1,787.57 × 1,126.50
  4. Step 4: Simplify right side
    1,291.94x = 2,013,683.03
  5. Step 5: Solve for x
    x = 2,013,683.03/1,291.94
  6. Step 6: Final answer
    x = 1,558.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.