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Finding the Fourth Proportional to 1,472.19, 2,020.80 and 1,302.72

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Solution

The fourth proportional to 1,472.19, 2,020.80 and 1,302.72 is: 1,788.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.19 : 2,020.80 = 1,302.72 : x
  2. Step 2: Convert to fraction form
    1,472.19/2,020.80 = 1,302.72/x
  3. Step 3: Cross multiply
    1,472.19x = 2,020.80 × 1,302.72
  4. Step 4: Simplify right side
    1,472.19x = 2,632,536.58
  5. Step 5: Solve for x
    x = 2,632,536.58/1,472.19
  6. Step 6: Final answer
    x = 1,788.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.