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Finding the Fourth Proportional to 2,533.59, 3,799.98 and 1,146.60

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Solution

The fourth proportional to 2,533.59, 3,799.98 and 1,146.60 is: 1,719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.59 : 3,799.98 = 1,146.60 : x
  2. Step 2: Convert to fraction form
    2,533.59/3,799.98 = 1,146.60/x
  3. Step 3: Cross multiply
    2,533.59x = 3,799.98 × 1,146.60
  4. Step 4: Simplify right side
    2,533.59x = 4,357,057.07
  5. Step 5: Solve for x
    x = 4,357,057.07/2,533.59
  6. Step 6: Final answer
    x = 1,719.72

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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.