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Finding the Fourth Proportional to 1,570.09, 2,166.79 and 871.46

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Solution

The fourth proportional to 1,570.09, 2,166.79 and 871.46 is: 1,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.09 : 2,166.79 = 871.46 : x
  2. Step 2: Convert to fraction form
    1,570.09/2,166.79 = 871.46/x
  3. Step 3: Cross multiply
    1,570.09x = 2,166.79 × 871.46
  4. Step 4: Simplify right side
    1,570.09x = 1,888,270.81
  5. Step 5: Solve for x
    x = 1,888,270.81/1,570.09
  6. Step 6: Final answer
    x = 1,202.65

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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.