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Finding the Fourth Proportional to 1,707.38, 2,570.08 and 1,456.82

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Solution

The fourth proportional to 1,707.38, 2,570.08 and 1,456.82 is: 2,192.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.38 : 2,570.08 = 1,456.82 : x
  2. Step 2: Convert to fraction form
    1,707.38/2,570.08 = 1,456.82/x
  3. Step 3: Cross multiply
    1,707.38x = 2,570.08 × 1,456.82
  4. Step 4: Simplify right side
    1,707.38x = 3,744,143.95
  5. Step 5: Solve for x
    x = 3,744,143.95/1,707.38
  6. Step 6: Final answer
    x = 2,192.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.