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Finding the Fourth Proportional to 1,600.48, 2,404.50 and 1,396.36

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Solution

The fourth proportional to 1,600.48, 2,404.50 and 1,396.36 is: 2,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.48 : 2,404.50 = 1,396.36 : x
  2. Step 2: Convert to fraction form
    1,600.48/2,404.50 = 1,396.36/x
  3. Step 3: Cross multiply
    1,600.48x = 2,404.50 × 1,396.36
  4. Step 4: Simplify right side
    1,600.48x = 3,357,547.62
  5. Step 5: Solve for x
    x = 3,357,547.62/1,600.48
  6. Step 6: Final answer
    x = 2,097.84

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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.