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Finding the Fourth Proportional to 2,530.62, 3,492.18 and 1,411.65

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Solution

The fourth proportional to 2,530.62, 3,492.18 and 1,411.65 is: 1,948.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.62 : 3,492.18 = 1,411.65 : x
  2. Step 2: Convert to fraction form
    2,530.62/3,492.18 = 1,411.65/x
  3. Step 3: Cross multiply
    2,530.62x = 3,492.18 × 1,411.65
  4. Step 4: Simplify right side
    2,530.62x = 4,929,735.90
  5. Step 5: Solve for x
    x = 4,929,735.90/2,530.62
  6. Step 6: Final answer
    x = 1,948.03

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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.