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Finding the Fourth Proportional to 2,547, 3,820.74 and 903.48

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Solution

The fourth proportional to 2,547, 3,820.74 and 903.48 is: 1,355.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547 : 3,820.74 = 903.48 : x
  2. Step 2: Convert to fraction form
    2,547/3,820.74 = 903.48/x
  3. Step 3: Cross multiply
    2,547x = 3,820.74 × 903.48
  4. Step 4: Simplify right side
    2,547x = 3,451,962.18
  5. Step 5: Solve for x
    x = 3,451,962.18/2,547
  6. Step 6: Final answer
    x = 1,355.31

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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.