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Finding the Fourth Proportional to 2,570.97, 3,860.10 and 1,594.11

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Solution

The fourth proportional to 2,570.97, 3,860.10 and 1,594.11 is: 2,393.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.97 : 3,860.10 = 1,594.11 : x
  2. Step 2: Convert to fraction form
    2,570.97/3,860.10 = 1,594.11/x
  3. Step 3: Cross multiply
    2,570.97x = 3,860.10 × 1,594.11
  4. Step 4: Simplify right side
    2,570.97x = 6,153,424.01
  5. Step 5: Solve for x
    x = 6,153,424.01/2,570.97
  6. Step 6: Final answer
    x = 2,393.43

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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.