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Finding the Fourth Proportional to 2,385.42, 3,564.29 and 1,724.16

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Solution

The fourth proportional to 2,385.42, 3,564.29 and 1,724.16 is: 2,576.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.42 : 3,564.29 = 1,724.16 : x
  2. Step 2: Convert to fraction form
    2,385.42/3,564.29 = 1,724.16/x
  3. Step 3: Cross multiply
    2,385.42x = 3,564.29 × 1,724.16
  4. Step 4: Simplify right side
    2,385.42x = 6,145,406.25
  5. Step 5: Solve for x
    x = 6,145,406.25/2,385.42
  6. Step 6: Final answer
    x = 2,576.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.