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Finding the Fourth Proportional to 2,962.47, 4,443.93 and 1,014.66

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Solution

The fourth proportional to 2,962.47, 4,443.93 and 1,014.66 is: 1,522.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.47 : 4,443.93 = 1,014.66 : x
  2. Step 2: Convert to fraction form
    2,962.47/4,443.93 = 1,014.66/x
  3. Step 3: Cross multiply
    2,962.47x = 4,443.93 × 1,014.66
  4. Step 4: Simplify right side
    2,962.47x = 4,509,078.01
  5. Step 5: Solve for x
    x = 4,509,078.01/2,962.47
  6. Step 6: Final answer
    x = 1,522.07

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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.