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Finding the Fourth Proportional to 2,592.16, 3,883.84 and 1,564

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Solution

The fourth proportional to 2,592.16, 3,883.84 and 1,564 is: 2,343.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.16 : 3,883.84 = 1,564 : x
  2. Step 2: Convert to fraction form
    2,592.16/3,883.84 = 1,564/x
  3. Step 3: Cross multiply
    2,592.16x = 3,883.84 × 1,564
  4. Step 4: Simplify right side
    2,592.16x = 6,074,325.76
  5. Step 5: Solve for x
    x = 6,074,325.76/2,592.16
  6. Step 6: Final answer
    x = 2,343.35

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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.