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Finding the Fourth Proportional to 1,572, 2,168.67 and 1,012.29

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Solution

The fourth proportional to 1,572, 2,168.67 and 1,012.29 is: 1,396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572 : 2,168.67 = 1,012.29 : x
  2. Step 2: Convert to fraction form
    1,572/2,168.67 = 1,012.29/x
  3. Step 3: Cross multiply
    1,572x = 2,168.67 × 1,012.29
  4. Step 4: Simplify right side
    1,572x = 2,195,322.95
  5. Step 5: Solve for x
    x = 2,195,322.95/1,572
  6. Step 6: Final answer
    x = 1,396.52

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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.