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Finding the Fourth Proportional to 1,565.90, 2,161.34 and 976.12

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Solution

The fourth proportional to 1,565.90, 2,161.34 and 976.12 is: 1,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.90 : 2,161.34 = 976.12 : x
  2. Step 2: Convert to fraction form
    1,565.90/2,161.34 = 976.12/x
  3. Step 3: Cross multiply
    1,565.90x = 2,161.34 × 976.12
  4. Step 4: Simplify right side
    1,565.90x = 2,109,727.20
  5. Step 5: Solve for x
    x = 2,109,727.20/1,565.90
  6. Step 6: Final answer
    x = 1,347.29

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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.