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Finding the Fourth Proportional to 1,612.02, 2,415.74 and 954.03

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Solution

The fourth proportional to 1,612.02, 2,415.74 and 954.03 is: 1,429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.02 : 2,415.74 = 954.03 : x
  2. Step 2: Convert to fraction form
    1,612.02/2,415.74 = 954.03/x
  3. Step 3: Cross multiply
    1,612.02x = 2,415.74 × 954.03
  4. Step 4: Simplify right side
    1,612.02x = 2,304,683.66
  5. Step 5: Solve for x
    x = 2,304,683.66/1,612.02
  6. Step 6: Final answer
    x = 1,429.69

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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.