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Finding the Fourth Proportional to 1,565.58, 2,351.70 and 949.56

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Solution

The fourth proportional to 1,565.58, 2,351.70 and 949.56 is: 1,426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.58 : 2,351.70 = 949.56 : x
  2. Step 2: Convert to fraction form
    1,565.58/2,351.70 = 949.56/x
  3. Step 3: Cross multiply
    1,565.58x = 2,351.70 × 949.56
  4. Step 4: Simplify right side
    1,565.58x = 2,233,080.25
  5. Step 5: Solve for x
    x = 2,233,080.25/1,565.58
  6. Step 6: Final answer
    x = 1,426.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.