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Finding the Fourth Proportional to 2,483.30, 3,724.95 and 751.93

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Solution

The fourth proportional to 2,483.30, 3,724.95 and 751.93 is: 1,127.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.30 : 3,724.95 = 751.93 : x
  2. Step 2: Convert to fraction form
    2,483.30/3,724.95 = 751.93/x
  3. Step 3: Cross multiply
    2,483.30x = 3,724.95 × 751.93
  4. Step 4: Simplify right side
    2,483.30x = 2,800,895.16
  5. Step 5: Solve for x
    x = 2,800,895.16/2,483.30
  6. Step 6: Final answer
    x = 1,127.89

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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.