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Finding the Fourth Proportional to 2,486.54, 3,730.01 and 1,026.02

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Solution

The fourth proportional to 2,486.54, 3,730.01 and 1,026.02 is: 1,539.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.54 : 3,730.01 = 1,026.02 : x
  2. Step 2: Convert to fraction form
    2,486.54/3,730.01 = 1,026.02/x
  3. Step 3: Cross multiply
    2,486.54x = 3,730.01 × 1,026.02
  4. Step 4: Simplify right side
    2,486.54x = 3,827,069.06
  5. Step 5: Solve for x
    x = 3,827,069.06/2,486.54
  6. Step 6: Final answer
    x = 1,539.11

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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.