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Finding the Fourth Proportional to 2,307.66, 3,462.50 and 1,211.77

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Solution

The fourth proportional to 2,307.66, 3,462.50 and 1,211.77 is: 1,818.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.66 : 3,462.50 = 1,211.77 : x
  2. Step 2: Convert to fraction form
    2,307.66/3,462.50 = 1,211.77/x
  3. Step 3: Cross multiply
    2,307.66x = 3,462.50 × 1,211.77
  4. Step 4: Simplify right side
    2,307.66x = 4,195,748.00
  5. Step 5: Solve for x
    x = 4,195,748.00/2,307.66
  6. Step 6: Final answer
    x = 1,818.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.