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Finding the Fourth Proportional to 2,656.53, 3,666 and 1,477.60

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Solution

The fourth proportional to 2,656.53, 3,666 and 1,477.60 is: 2,039.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.53 : 3,666 = 1,477.60 : x
  2. Step 2: Convert to fraction form
    2,656.53/3,666 = 1,477.60/x
  3. Step 3: Cross multiply
    2,656.53x = 3,666 × 1,477.60
  4. Step 4: Simplify right side
    2,656.53x = 5,416,872.44
  5. Step 5: Solve for x
    x = 5,416,872.44/2,656.53
  6. Step 6: Final answer
    x = 2,039.08

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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.