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Finding the Fourth Proportional to 1,571.39, 2,357.63 and 985.69

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Solution

The fourth proportional to 1,571.39, 2,357.63 and 985.69 is: 1,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.39 : 2,357.63 = 985.69 : x
  2. Step 2: Convert to fraction form
    1,571.39/2,357.63 = 985.69/x
  3. Step 3: Cross multiply
    1,571.39x = 2,357.63 × 985.69
  4. Step 4: Simplify right side
    1,571.39x = 2,323,875.60
  5. Step 5: Solve for x
    x = 2,323,875.60/1,571.39
  6. Step 6: Final answer
    x = 1,478.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.