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Finding the Fourth Proportional to 2,224.93, 3,070.49 and 1,477.60

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Solution

The fourth proportional to 2,224.93, 3,070.49 and 1,477.60 is: 2,039.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.93 : 3,070.49 = 1,477.60 : x
  2. Step 2: Convert to fraction form
    2,224.93/3,070.49 = 1,477.60/x
  3. Step 3: Cross multiply
    2,224.93x = 3,070.49 × 1,477.60
  4. Step 4: Simplify right side
    2,224.93x = 4,536,956.02
  5. Step 5: Solve for x
    x = 4,536,956.02/2,224.93
  6. Step 6: Final answer
    x = 2,039.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.