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Finding the Fourth Proportional to 3,230.02, 4,837.74 and 1,495

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Solution

The fourth proportional to 3,230.02, 4,837.74 and 1,495 is: 2,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.02 : 4,837.74 = 1,495 : x
  2. Step 2: Convert to fraction form
    3,230.02/4,837.74 = 1,495/x
  3. Step 3: Cross multiply
    3,230.02x = 4,837.74 × 1,495
  4. Step 4: Simplify right side
    3,230.02x = 7,232,421.30
  5. Step 5: Solve for x
    x = 7,232,421.30/3,230.02
  6. Step 6: Final answer
    x = 2,239.13

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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.