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Finding the Fourth Proportional to 2,177.12, 3,264.60 and 771.32

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Solution

The fourth proportional to 2,177.12, 3,264.60 and 771.32 is: 1,156.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.12 : 3,264.60 = 771.32 : x
  2. Step 2: Convert to fraction form
    2,177.12/3,264.60 = 771.32/x
  3. Step 3: Cross multiply
    2,177.12x = 3,264.60 × 771.32
  4. Step 4: Simplify right side
    2,177.12x = 2,518,051.27
  5. Step 5: Solve for x
    x = 2,518,051.27/2,177.12
  6. Step 6: Final answer
    x = 1,156.60

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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.