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Finding the Fourth Proportional to 3,024.76, 4,537.10 and 1,464.90

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Solution

The fourth proportional to 3,024.76, 4,537.10 and 1,464.90 is: 2,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.76 : 4,537.10 = 1,464.90 : x
  2. Step 2: Convert to fraction form
    3,024.76/4,537.10 = 1,464.90/x
  3. Step 3: Cross multiply
    3,024.76x = 4,537.10 × 1,464.90
  4. Step 4: Simplify right side
    3,024.76x = 6,646,390.47
  5. Step 5: Solve for x
    x = 6,646,390.47/3,024.76
  6. Step 6: Final answer
    x = 2,197.33

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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.