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Finding the Fourth Proportional to 2,588.64, 3,881.04 and 2,328

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Solution

The fourth proportional to 2,588.64, 3,881.04 and 2,328 is: 3,490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.64 : 3,881.04 = 2,328 : x
  2. Step 2: Convert to fraction form
    2,588.64/3,881.04 = 2,328/x
  3. Step 3: Cross multiply
    2,588.64x = 3,881.04 × 2,328
  4. Step 4: Simplify right side
    2,588.64x = 9,035,061.12
  5. Step 5: Solve for x
    x = 9,035,061.12/2,588.64
  6. Step 6: Final answer
    x = 3,490.27

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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.