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Finding the Fourth Proportional to 1,536.04, 2,304.42 and 670.60

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Solution

The fourth proportional to 1,536.04, 2,304.42 and 670.60 is: 1,006.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.04 : 2,304.42 = 670.60 : x
  2. Step 2: Convert to fraction form
    1,536.04/2,304.42 = 670.60/x
  3. Step 3: Cross multiply
    1,536.04x = 2,304.42 × 670.60
  4. Step 4: Simplify right side
    1,536.04x = 1,545,344.05
  5. Step 5: Solve for x
    x = 1,545,344.05/1,536.04
  6. Step 6: Final answer
    x = 1,006.06

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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.