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Finding the Fourth Proportional to 2,458.66, 3,392.92 and 1,410.70

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Solution

The fourth proportional to 2,458.66, 3,392.92 and 1,410.70 is: 1,946.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.66 : 3,392.92 = 1,410.70 : x
  2. Step 2: Convert to fraction form
    2,458.66/3,392.92 = 1,410.70/x
  3. Step 3: Cross multiply
    2,458.66x = 3,392.92 × 1,410.70
  4. Step 4: Simplify right side
    2,458.66x = 4,786,392.24
  5. Step 5: Solve for x
    x = 4,786,392.24/2,458.66
  6. Step 6: Final answer
    x = 1,946.75

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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.