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Finding the Fourth Proportional to 2,547, 3,820.50 and 815.67

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Solution

The fourth proportional to 2,547, 3,820.50 and 815.67 is: 1,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547 : 3,820.50 = 815.67 : x
  2. Step 2: Convert to fraction form
    2,547/3,820.50 = 815.67/x
  3. Step 3: Cross multiply
    2,547x = 3,820.50 × 815.67
  4. Step 4: Simplify right side
    2,547x = 3,116,267.24
  5. Step 5: Solve for x
    x = 3,116,267.24/2,547
  6. Step 6: Final answer
    x = 1,223.51

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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.