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Finding the Fourth Proportional to 2,923.76, 4,385.68 and 975.97

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Solution

The fourth proportional to 2,923.76, 4,385.68 and 975.97 is: 1,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.76 : 4,385.68 = 975.97 : x
  2. Step 2: Convert to fraction form
    2,923.76/4,385.68 = 975.97/x
  3. Step 3: Cross multiply
    2,923.76x = 4,385.68 × 975.97
  4. Step 4: Simplify right side
    2,923.76x = 4,280,278.71
  5. Step 5: Solve for x
    x = 4,280,278.71/2,923.76
  6. Step 6: Final answer
    x = 1,463.96

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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.