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Finding the Fourth Proportional to 2,366.03, 3,264 and 1,838.45

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Solution

The fourth proportional to 2,366.03, 3,264 and 1,838.45 is: 2,536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.03 : 3,264 = 1,838.45 : x
  2. Step 2: Convert to fraction form
    2,366.03/3,264 = 1,838.45/x
  3. Step 3: Cross multiply
    2,366.03x = 3,264 × 1,838.45
  4. Step 4: Simplify right side
    2,366.03x = 6,000,700.80
  5. Step 5: Solve for x
    x = 6,000,700.80/2,366.03
  6. Step 6: Final answer
    x = 2,536.19

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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.