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Finding the Fourth Proportional to 2,842.93, 3,926.94 and 1,957.18

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Solution

The fourth proportional to 2,842.93, 3,926.94 and 1,957.18 is: 2,703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.93 : 3,926.94 = 1,957.18 : x
  2. Step 2: Convert to fraction form
    2,842.93/3,926.94 = 1,957.18/x
  3. Step 3: Cross multiply
    2,842.93x = 3,926.94 × 1,957.18
  4. Step 4: Simplify right side
    2,842.93x = 7,685,728.43
  5. Step 5: Solve for x
    x = 7,685,728.43/2,842.93
  6. Step 6: Final answer
    x = 2,703.45

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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.