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Finding the Fourth Proportional to 4,274.21, 6,411.02 and 1,154.40

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Solution

The fourth proportional to 4,274.21, 6,411.02 and 1,154.40 is: 1,731.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.21 : 6,411.02 = 1,154.40 : x
  2. Step 2: Convert to fraction form
    4,274.21/6,411.02 = 1,154.40/x
  3. Step 3: Cross multiply
    4,274.21x = 6,411.02 × 1,154.40
  4. Step 4: Simplify right side
    4,274.21x = 7,400,851.67
  5. Step 5: Solve for x
    x = 7,400,851.67/4,274.21
  6. Step 6: Final answer
    x = 1,731.51

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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.