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Finding the Fourth Proportional to 2,596, 3,583.12 and 1,492.64

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Solution

The fourth proportional to 2,596, 3,583.12 and 1,492.64 is: 2,060.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596 : 3,583.12 = 1,492.64 : x
  2. Step 2: Convert to fraction form
    2,596/3,583.12 = 1,492.64/x
  3. Step 3: Cross multiply
    2,596x = 3,583.12 × 1,492.64
  4. Step 4: Simplify right side
    2,596x = 5,348,308.24
  5. Step 5: Solve for x
    x = 5,348,308.24/2,596
  6. Step 6: Final answer
    x = 2,060.21

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Why These Related Problems?

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