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Finding the Fourth Proportional to 1,599.51, 2,396.16 and 981.39

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Solution

The fourth proportional to 1,599.51, 2,396.16 and 981.39 is: 1,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.51 : 2,396.16 = 981.39 : x
  2. Step 2: Convert to fraction form
    1,599.51/2,396.16 = 981.39/x
  3. Step 3: Cross multiply
    1,599.51x = 2,396.16 × 981.39
  4. Step 4: Simplify right side
    1,599.51x = 2,351,567.46
  5. Step 5: Solve for x
    x = 2,351,567.46/1,599.51
  6. Step 6: Final answer
    x = 1,470.18

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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.