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Finding the Fourth Proportional to 2,520.55, 3,779.61 and 877.06

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Solution

The fourth proportional to 2,520.55, 3,779.61 and 877.06 is: 1,315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.55 : 3,779.61 = 877.06 : x
  2. Step 2: Convert to fraction form
    2,520.55/3,779.61 = 877.06/x
  3. Step 3: Cross multiply
    2,520.55x = 3,779.61 × 877.06
  4. Step 4: Simplify right side
    2,520.55x = 3,314,944.75
  5. Step 5: Solve for x
    x = 3,314,944.75/2,520.55
  6. Step 6: Final answer
    x = 1,315.17

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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.