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Finding the Fourth Proportional to 1,496.16, 2,238 and 1,404

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Solution

The fourth proportional to 1,496.16, 2,238 and 1,404 is: 2,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.16 : 2,238 = 1,404 : x
  2. Step 2: Convert to fraction form
    1,496.16/2,238 = 1,404/x
  3. Step 3: Cross multiply
    1,496.16x = 2,238 × 1,404
  4. Step 4: Simplify right side
    1,496.16x = 3,142,152
  5. Step 5: Solve for x
    x = 3,142,152/1,496.16
  6. Step 6: Final answer
    x = 2,100.14

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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.