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Finding the Fourth Proportional to 2,486.87, 3,730.32 and 1,026.08

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Solution

The fourth proportional to 2,486.87, 3,730.32 and 1,026.08 is: 1,539.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.87 : 3,730.32 = 1,026.08 : x
  2. Step 2: Convert to fraction form
    2,486.87/3,730.32 = 1,026.08/x
  3. Step 3: Cross multiply
    2,486.87x = 3,730.32 × 1,026.08
  4. Step 4: Simplify right side
    2,486.87x = 3,827,588.09
  5. Step 5: Solve for x
    x = 3,827,588.09/2,486.87
  6. Step 6: Final answer
    x = 1,539.12

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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.