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Finding the Fourth Proportional to 1,570.43, 2,167.99 and 1,215.55

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Solution

The fourth proportional to 1,570.43, 2,167.99 and 1,215.55 is: 1,678.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.43 : 2,167.99 = 1,215.55 : x
  2. Step 2: Convert to fraction form
    1,570.43/2,167.99 = 1,215.55/x
  3. Step 3: Cross multiply
    1,570.43x = 2,167.99 × 1,215.55
  4. Step 4: Simplify right side
    1,570.43x = 2,635,300.24
  5. Step 5: Solve for x
    x = 2,635,300.24/1,570.43
  6. Step 6: Final answer
    x = 1,678.08

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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.