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Finding the Fourth Proportional to 2,376.16, 3,564.29 and 816.16

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Solution

The fourth proportional to 2,376.16, 3,564.29 and 816.16 is: 1,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.16 : 3,564.29 = 816.16 : x
  2. Step 2: Convert to fraction form
    2,376.16/3,564.29 = 816.16/x
  3. Step 3: Cross multiply
    2,376.16x = 3,564.29 × 816.16
  4. Step 4: Simplify right side
    2,376.16x = 2,909,009.02
  5. Step 5: Solve for x
    x = 2,909,009.02/2,376.16
  6. Step 6: Final answer
    x = 1,224.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.