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Finding the Fourth Proportional to 1,571.81, 2,357.47 and 571.05

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Solution

The fourth proportional to 1,571.81, 2,357.47 and 571.05 is: 856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.81 : 2,357.47 = 571.05 : x
  2. Step 2: Convert to fraction form
    1,571.81/2,357.47 = 571.05/x
  3. Step 3: Cross multiply
    1,571.81x = 2,357.47 × 571.05
  4. Step 4: Simplify right side
    1,571.81x = 1,346,233.96
  5. Step 5: Solve for x
    x = 1,346,233.96/1,571.81
  6. Step 6: Final answer
    x = 856.49

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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.