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Finding the Fourth Proportional to 1,784.92, 2,463.12 and 977.34

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Solution

The fourth proportional to 1,784.92, 2,463.12 and 977.34 is: 1,348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.92 : 2,463.12 = 977.34 : x
  2. Step 2: Convert to fraction form
    1,784.92/2,463.12 = 977.34/x
  3. Step 3: Cross multiply
    1,784.92x = 2,463.12 × 977.34
  4. Step 4: Simplify right side
    1,784.92x = 2,407,305.70
  5. Step 5: Solve for x
    x = 2,407,305.70/1,784.92
  6. Step 6: Final answer
    x = 1,348.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.