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Finding the Fourth Proportional to 1,424.08, 2,136.36 and 499.40

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Solution

The fourth proportional to 1,424.08, 2,136.36 and 499.40 is: 749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.08 : 2,136.36 = 499.40 : x
  2. Step 2: Convert to fraction form
    1,424.08/2,136.36 = 499.40/x
  3. Step 3: Cross multiply
    1,424.08x = 2,136.36 × 499.40
  4. Step 4: Simplify right side
    1,424.08x = 1,066,894.58
  5. Step 5: Solve for x
    x = 1,066,894.58/1,424.08
  6. Step 6: Final answer
    x = 749.18

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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.