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Finding the Fourth Proportional to 2,365.53, 3,547.89 and 676.81

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Solution

The fourth proportional to 2,365.53, 3,547.89 and 676.81 is: 1,015.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.53 : 3,547.89 = 676.81 : x
  2. Step 2: Convert to fraction form
    2,365.53/3,547.89 = 676.81/x
  3. Step 3: Cross multiply
    2,365.53x = 3,547.89 × 676.81
  4. Step 4: Simplify right side
    2,365.53x = 2,401,247.43
  5. Step 5: Solve for x
    x = 2,401,247.43/2,365.53
  6. Step 6: Final answer
    x = 1,015.10

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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.