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Finding the Fourth Proportional to 2,442.58, 3,666.71 and 1,274.81

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Solution

The fourth proportional to 2,442.58, 3,666.71 and 1,274.81 is: 1,913.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.58 : 3,666.71 = 1,274.81 : x
  2. Step 2: Convert to fraction form
    2,442.58/3,666.71 = 1,274.81/x
  3. Step 3: Cross multiply
    2,442.58x = 3,666.71 × 1,274.81
  4. Step 4: Simplify right side
    2,442.58x = 4,674,340.24
  5. Step 5: Solve for x
    x = 4,674,340.24/2,442.58
  6. Step 6: Final answer
    x = 1,913.69

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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.