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Finding the Fourth Proportional to 2,529.60, 3,486.86 and 1,899.22

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Solution

The fourth proportional to 2,529.60, 3,486.86 and 1,899.22 is: 2,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.60 : 3,486.86 = 1,899.22 : x
  2. Step 2: Convert to fraction form
    2,529.60/3,486.86 = 1,899.22/x
  3. Step 3: Cross multiply
    2,529.60x = 3,486.86 × 1,899.22
  4. Step 4: Simplify right side
    2,529.60x = 6,622,303.16
  5. Step 5: Solve for x
    x = 6,622,303.16/2,529.60
  6. Step 6: Final answer
    x = 2,617.93

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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.