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Finding the Fourth Proportional to 1,232.61, 1,852.76 and 1,147.02

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Solution

The fourth proportional to 1,232.61, 1,852.76 and 1,147.02 is: 1,724.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.61 : 1,852.76 = 1,147.02 : x
  2. Step 2: Convert to fraction form
    1,232.61/1,852.76 = 1,147.02/x
  3. Step 3: Cross multiply
    1,232.61x = 1,852.76 × 1,147.02
  4. Step 4: Simplify right side
    1,232.61x = 2,125,152.78
  5. Step 5: Solve for x
    x = 2,125,152.78/1,232.61
  6. Step 6: Final answer
    x = 1,724.11

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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.