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Finding the Fourth Proportional to 2,795.09, 4,192.56 and 946.15

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Solution

The fourth proportional to 2,795.09, 4,192.56 and 946.15 is: 1,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.09 : 4,192.56 = 946.15 : x
  2. Step 2: Convert to fraction form
    2,795.09/4,192.56 = 946.15/x
  3. Step 3: Cross multiply
    2,795.09x = 4,192.56 × 946.15
  4. Step 4: Simplify right side
    2,795.09x = 3,966,780.16
  5. Step 5: Solve for x
    x = 3,966,780.16/2,795.09
  6. Step 6: Final answer
    x = 1,419.20

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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.