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Finding the Fourth Proportional to 4,698.27, 7,045.65 and 1,923.48

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Solution

The fourth proportional to 4,698.27, 7,045.65 and 1,923.48 is: 2,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.27 : 7,045.65 = 1,923.48 : x
  2. Step 2: Convert to fraction form
    4,698.27/7,045.65 = 1,923.48/x
  3. Step 3: Cross multiply
    4,698.27x = 7,045.65 × 1,923.48
  4. Step 4: Simplify right side
    4,698.27x = 13,552,166.86
  5. Step 5: Solve for x
    x = 13,552,166.86/4,698.27
  6. Step 6: Final answer
    x = 2,884.50

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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.