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Finding the Fourth Proportional to 2,335.84, 3,223.74 and 1,452.16

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Solution

The fourth proportional to 2,335.84, 3,223.74 and 1,452.16 is: 2,004.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.84 : 3,223.74 = 1,452.16 : x
  2. Step 2: Convert to fraction form
    2,335.84/3,223.74 = 1,452.16/x
  3. Step 3: Cross multiply
    2,335.84x = 3,223.74 × 1,452.16
  4. Step 4: Simplify right side
    2,335.84x = 4,681,386.28
  5. Step 5: Solve for x
    x = 4,681,386.28/2,335.84
  6. Step 6: Final answer
    x = 2,004.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.