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Finding the Fourth Proportional to 1,599.51, 2,399.28 and 1,565.49

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Solution

The fourth proportional to 1,599.51, 2,399.28 and 1,565.49 is: 2,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.51 : 2,399.28 = 1,565.49 : x
  2. Step 2: Convert to fraction form
    1,599.51/2,399.28 = 1,565.49/x
  3. Step 3: Cross multiply
    1,599.51x = 2,399.28 × 1,565.49
  4. Step 4: Simplify right side
    1,599.51x = 3,756,048.85
  5. Step 5: Solve for x
    x = 3,756,048.85/1,599.51
  6. Step 6: Final answer
    x = 2,348.25

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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.