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Finding the Fourth Proportional to 2,923.69, 4,385.56 and 975.89

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Solution

The fourth proportional to 2,923.69, 4,385.56 and 975.89 is: 1,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.69 : 4,385.56 = 975.89 : x
  2. Step 2: Convert to fraction form
    2,923.69/4,385.56 = 975.89/x
  3. Step 3: Cross multiply
    2,923.69x = 4,385.56 × 975.89
  4. Step 4: Simplify right side
    2,923.69x = 4,279,824.15
  5. Step 5: Solve for x
    x = 4,279,824.15/2,923.69
  6. Step 6: Final answer
    x = 1,463.84

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1.5x scale

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.