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Finding the Fourth Proportional to 2,131.68, 2,938.36 and 1,570.36

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Solution

The fourth proportional to 2,131.68, 2,938.36 and 1,570.36 is: 2,164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.68 : 2,938.36 = 1,570.36 : x
  2. Step 2: Convert to fraction form
    2,131.68/2,938.36 = 1,570.36/x
  3. Step 3: Cross multiply
    2,131.68x = 2,938.36 × 1,570.36
  4. Step 4: Simplify right side
    2,131.68x = 4,614,283.01
  5. Step 5: Solve for x
    x = 4,614,283.01/2,131.68
  6. Step 6: Final answer
    x = 2,164.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.