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Finding the Fourth Proportional to 2,307.72, 3,462.10 and 846.86

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Solution

The fourth proportional to 2,307.72, 3,462.10 and 846.86 is: 1,270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.72 : 3,462.10 = 846.86 : x
  2. Step 2: Convert to fraction form
    2,307.72/3,462.10 = 846.86/x
  3. Step 3: Cross multiply
    2,307.72x = 3,462.10 × 846.86
  4. Step 4: Simplify right side
    2,307.72x = 2,931,914.01
  5. Step 5: Solve for x
    x = 2,931,914.01/2,307.72
  6. Step 6: Final answer
    x = 1,270.48

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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.