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Finding the Fourth Proportional to 2,607.72, 3,911.76 and 877.56

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Solution

The fourth proportional to 2,607.72, 3,911.76 and 877.56 is: 1,316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.72 : 3,911.76 = 877.56 : x
  2. Step 2: Convert to fraction form
    2,607.72/3,911.76 = 877.56/x
  3. Step 3: Cross multiply
    2,607.72x = 3,911.76 × 877.56
  4. Step 4: Simplify right side
    2,607.72x = 3,432,804.11
  5. Step 5: Solve for x
    x = 3,432,804.11/2,607.72
  6. Step 6: Final answer
    x = 1,316.40

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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.