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Finding the Fourth Proportional to 1,292.60, 1,937.10 and 1,232.12

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Solution

The fourth proportional to 1,292.60, 1,937.10 and 1,232.12 is: 1,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.60 : 1,937.10 = 1,232.12 : x
  2. Step 2: Convert to fraction form
    1,292.60/1,937.10 = 1,232.12/x
  3. Step 3: Cross multiply
    1,292.60x = 1,937.10 × 1,232.12
  4. Step 4: Simplify right side
    1,292.60x = 2,386,739.65
  5. Step 5: Solve for x
    x = 2,386,739.65/1,292.60
  6. Step 6: Final answer
    x = 1,846.46

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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.