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Finding the Fourth Proportional to 2,486.60, 3,729.90 and 2,365.10

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Solution

The fourth proportional to 2,486.60, 3,729.90 and 2,365.10 is: 3,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.60 : 3,729.90 = 2,365.10 : x
  2. Step 2: Convert to fraction form
    2,486.60/3,729.90 = 2,365.10/x
  3. Step 3: Cross multiply
    2,486.60x = 3,729.90 × 2,365.10
  4. Step 4: Simplify right side
    2,486.60x = 8,821,586.49
  5. Step 5: Solve for x
    x = 8,821,586.49/2,486.60
  6. Step 6: Final answer
    x = 3,547.65

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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.