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Finding the Fourth Proportional to 3,130.96, 4,696.80 and 1,282

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Solution

The fourth proportional to 3,130.96, 4,696.80 and 1,282 is: 1,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.96 : 4,696.80 = 1,282 : x
  2. Step 2: Convert to fraction form
    3,130.96/4,696.80 = 1,282/x
  3. Step 3: Cross multiply
    3,130.96x = 4,696.80 × 1,282
  4. Step 4: Simplify right side
    3,130.96x = 6,021,297.60
  5. Step 5: Solve for x
    x = 6,021,297.60/3,130.96
  6. Step 6: Final answer
    x = 1,923.15

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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.