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Finding the Fourth Proportional to 2,823.16, 4,234.20 and 975.48

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Solution

The fourth proportional to 2,823.16, 4,234.20 and 975.48 is: 1,463.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.16 : 4,234.20 = 975.48 : x
  2. Step 2: Convert to fraction form
    2,823.16/4,234.20 = 975.48/x
  3. Step 3: Cross multiply
    2,823.16x = 4,234.20 × 975.48
  4. Step 4: Simplify right side
    2,823.16x = 4,130,377.42
  5. Step 5: Solve for x
    x = 4,130,377.42/2,823.16
  6. Step 6: Final answer
    x = 1,463.03

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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.