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Finding the Fourth Proportional to 2,361.84, 3,545.16 and 976.02

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Solution

The fourth proportional to 2,361.84, 3,545.16 and 976.02 is: 1,465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.84 : 3,545.16 = 976.02 : x
  2. Step 2: Convert to fraction form
    2,361.84/3,545.16 = 976.02/x
  3. Step 3: Cross multiply
    2,361.84x = 3,545.16 × 976.02
  4. Step 4: Simplify right side
    2,361.84x = 3,460,147.06
  5. Step 5: Solve for x
    x = 3,460,147.06/2,361.84
  6. Step 6: Final answer
    x = 1,465.02

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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.