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Finding the Fourth Proportional to 4,085.60, 6,127.20 and 1,164

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Solution

The fourth proportional to 4,085.60, 6,127.20 and 1,164 is: 1,745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,085.60 : 6,127.20 = 1,164 : x
  2. Step 2: Convert to fraction form
    4,085.60/6,127.20 = 1,164/x
  3. Step 3: Cross multiply
    4,085.60x = 6,127.20 × 1,164
  4. Step 4: Simplify right side
    4,085.60x = 7,132,060.80
  5. Step 5: Solve for x
    x = 7,132,060.80/4,085.60
  6. Step 6: Final answer
    x = 1,745.66

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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.