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Finding the Fourth Proportional to 2,405.84, 3,320.28 and 1,358

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Solution

The fourth proportional to 2,405.84, 3,320.28 and 1,358 is: 1,874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.84 : 3,320.28 = 1,358 : x
  2. Step 2: Convert to fraction form
    2,405.84/3,320.28 = 1,358/x
  3. Step 3: Cross multiply
    2,405.84x = 3,320.28 × 1,358
  4. Step 4: Simplify right side
    2,405.84x = 4,508,940.24
  5. Step 5: Solve for x
    x = 4,508,940.24/2,405.84
  6. Step 6: Final answer
    x = 1,874.16

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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.