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Finding the Fourth Proportional to 2,076, 3,114.16 and 1,164

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Solution

The fourth proportional to 2,076, 3,114.16 and 1,164 is: 1,746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076 : 3,114.16 = 1,164 : x
  2. Step 2: Convert to fraction form
    2,076/3,114.16 = 1,164/x
  3. Step 3: Cross multiply
    2,076x = 3,114.16 × 1,164
  4. Step 4: Simplify right side
    2,076x = 3,624,882.24
  5. Step 5: Solve for x
    x = 3,624,882.24/2,076
  6. Step 6: Final answer
    x = 1,746.09

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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.