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Finding the Fourth Proportional to 1,570.71, 2,167.65 and 872.04

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Solution

The fourth proportional to 1,570.71, 2,167.65 and 872.04 is: 1,203.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.71 : 2,167.65 = 872.04 : x
  2. Step 2: Convert to fraction form
    1,570.71/2,167.65 = 872.04/x
  3. Step 3: Cross multiply
    1,570.71x = 2,167.65 × 872.04
  4. Step 4: Simplify right side
    1,570.71x = 1,890,277.51
  5. Step 5: Solve for x
    x = 1,890,277.51/1,570.71
  6. Step 6: Final answer
    x = 1,203.45

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Why These Related Problems?

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