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Finding the Fourth Proportional to 2,547, 3,820.68 and 2,312.28

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Solution

The fourth proportional to 2,547, 3,820.68 and 2,312.28 is: 3,468.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547 : 3,820.68 = 2,312.28 : x
  2. Step 2: Convert to fraction form
    2,547/3,820.68 = 2,312.28/x
  3. Step 3: Cross multiply
    2,547x = 3,820.68 × 2,312.28
  4. Step 4: Simplify right side
    2,547x = 8,834,481.95
  5. Step 5: Solve for x
    x = 8,834,481.95/2,547
  6. Step 6: Final answer
    x = 3,468.58

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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.