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Finding the Fourth Proportional to 1,536.33, 2,303.69 and 670.17

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Solution

The fourth proportional to 1,536.33, 2,303.69 and 670.17 is: 1,004.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.33 : 2,303.69 = 670.17 : x
  2. Step 2: Convert to fraction form
    1,536.33/2,303.69 = 670.17/x
  3. Step 3: Cross multiply
    1,536.33x = 2,303.69 × 670.17
  4. Step 4: Simplify right side
    1,536.33x = 1,543,871.73
  5. Step 5: Solve for x
    x = 1,543,871.73/1,536.33
  6. Step 6: Final answer
    x = 1,004.91

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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.