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Finding the Fourth Proportional to 2,161.23, 2,978.55 and 1,570.74

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Solution

The fourth proportional to 2,161.23, 2,978.55 and 1,570.74 is: 2,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.23 : 2,978.55 = 1,570.74 : x
  2. Step 2: Convert to fraction form
    2,161.23/2,978.55 = 1,570.74/x
  3. Step 3: Cross multiply
    2,161.23x = 2,978.55 × 1,570.74
  4. Step 4: Simplify right side
    2,161.23x = 4,678,527.63
  5. Step 5: Solve for x
    x = 4,678,527.63/2,161.23
  6. Step 6: Final answer
    x = 2,164.75

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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.