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Finding the Fourth Proportional to 2,865.02, 4,297.61 and 1,477.49

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Solution

The fourth proportional to 2,865.02, 4,297.61 and 1,477.49 is: 2,216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.02 : 4,297.61 = 1,477.49 : x
  2. Step 2: Convert to fraction form
    2,865.02/4,297.61 = 1,477.49/x
  3. Step 3: Cross multiply
    2,865.02x = 4,297.61 × 1,477.49
  4. Step 4: Simplify right side
    2,865.02x = 6,349,673.87
  5. Step 5: Solve for x
    x = 6,349,673.87/2,865.02
  6. Step 6: Final answer
    x = 2,216.28

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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.