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Finding the Fourth Proportional to 2,337.84, 3,506.73 and 777.96

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Solution

The fourth proportional to 2,337.84, 3,506.73 and 777.96 is: 1,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.84 : 3,506.73 = 777.96 : x
  2. Step 2: Convert to fraction form
    2,337.84/3,506.73 = 777.96/x
  3. Step 3: Cross multiply
    2,337.84x = 3,506.73 × 777.96
  4. Step 4: Simplify right side
    2,337.84x = 2,728,095.67
  5. Step 5: Solve for x
    x = 2,728,095.67/2,337.84
  6. Step 6: Final answer
    x = 1,166.93

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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.