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Finding the Fourth Proportional to 2,076, 3,114.06 and 537

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Solution

The fourth proportional to 2,076, 3,114.06 and 537 is: 805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076 : 3,114.06 = 537 : x
  2. Step 2: Convert to fraction form
    2,076/3,114.06 = 537/x
  3. Step 3: Cross multiply
    2,076x = 3,114.06 × 537
  4. Step 4: Simplify right side
    2,076x = 1,672,250.22
  5. Step 5: Solve for x
    x = 1,672,250.22/2,076
  6. Step 6: Final answer
    x = 805.52

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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.