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Finding the Fourth Proportional to 1,570.51, 2,167.08 and 940.91

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Solution

The fourth proportional to 1,570.51, 2,167.08 and 940.91 is: 1,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.51 : 2,167.08 = 940.91 : x
  2. Step 2: Convert to fraction form
    1,570.51/2,167.08 = 940.91/x
  3. Step 3: Cross multiply
    1,570.51x = 2,167.08 × 940.91
  4. Step 4: Simplify right side
    1,570.51x = 2,039,012.88
  5. Step 5: Solve for x
    x = 2,039,012.88/1,570.51
  6. Step 6: Final answer
    x = 1,298.31

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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.