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Finding the Fourth Proportional to 3,051.60, 4,577.40 and 1,512.40

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Solution

The fourth proportional to 3,051.60, 4,577.40 and 1,512.40 is: 2,268.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.60 : 4,577.40 = 1,512.40 : x
  2. Step 2: Convert to fraction form
    3,051.60/4,577.40 = 1,512.40/x
  3. Step 3: Cross multiply
    3,051.60x = 4,577.40 × 1,512.40
  4. Step 4: Simplify right side
    3,051.60x = 6,922,859.76
  5. Step 5: Solve for x
    x = 6,922,859.76/3,051.60
  6. Step 6: Final answer
    x = 2,268.60

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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.