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Finding the Fourth Proportional to 2,929.02, 4,392.61 and 980.77

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Solution

The fourth proportional to 2,929.02, 4,392.61 and 980.77 is: 1,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.02 : 4,392.61 = 980.77 : x
  2. Step 2: Convert to fraction form
    2,929.02/4,392.61 = 980.77/x
  3. Step 3: Cross multiply
    2,929.02x = 4,392.61 × 980.77
  4. Step 4: Simplify right side
    2,929.02x = 4,308,126.68
  5. Step 5: Solve for x
    x = 4,308,126.68/2,929.02
  6. Step 6: Final answer
    x = 1,470.84

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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.