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Finding the Fourth Proportional to 2,547, 3,820.59 and 1,085.15

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Solution

The fourth proportional to 2,547, 3,820.59 and 1,085.15 is: 1,627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547 : 3,820.59 = 1,085.15 : x
  2. Step 2: Convert to fraction form
    2,547/3,820.59 = 1,085.15/x
  3. Step 3: Cross multiply
    2,547x = 3,820.59 × 1,085.15
  4. Step 4: Simplify right side
    2,547x = 4,145,913.24
  5. Step 5: Solve for x
    x = 4,145,913.24/2,547
  6. Step 6: Final answer
    x = 1,627.76

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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.