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Finding the Fourth Proportional to 1,492.16, 2,238.05 and 669.96

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Solution

The fourth proportional to 1,492.16, 2,238.05 and 669.96 is: 1,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.16 : 2,238.05 = 669.96 : x
  2. Step 2: Convert to fraction form
    1,492.16/2,238.05 = 669.96/x
  3. Step 3: Cross multiply
    1,492.16x = 2,238.05 × 669.96
  4. Step 4: Simplify right side
    1,492.16x = 1,499,405.65
  5. Step 5: Solve for x
    x = 1,499,405.65/1,492.16
  6. Step 6: Final answer
    x = 1,004.86

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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.