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Finding the Fourth Proportional to 1,257.93, 1,894.32 and 1,097.55

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Solution

The fourth proportional to 1,257.93, 1,894.32 and 1,097.55 is: 1,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.93 : 1,894.32 = 1,097.55 : x
  2. Step 2: Convert to fraction form
    1,257.93/1,894.32 = 1,097.55/x
  3. Step 3: Cross multiply
    1,257.93x = 1,894.32 × 1,097.55
  4. Step 4: Simplify right side
    1,257.93x = 2,079,110.92
  5. Step 5: Solve for x
    x = 2,079,110.92/1,257.93
  6. Step 6: Final answer
    x = 1,652.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.