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Finding the Fourth Proportional to 2,355.72, 3,534.16 and 1,663.74

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Solution

The fourth proportional to 2,355.72, 3,534.16 and 1,663.74 is: 2,496.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.72 : 3,534.16 = 1,663.74 : x
  2. Step 2: Convert to fraction form
    2,355.72/3,534.16 = 1,663.74/x
  3. Step 3: Cross multiply
    2,355.72x = 3,534.16 × 1,663.74
  4. Step 4: Simplify right side
    2,355.72x = 5,879,915.04
  5. Step 5: Solve for x
    x = 5,879,915.04/2,355.72
  6. Step 6: Final answer
    x = 2,496.01

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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.