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Finding the Fourth Proportional to 2,045.50, 2,822.82 and 1,114

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Solution

The fourth proportional to 2,045.50, 2,822.82 and 1,114 is: 1,537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.50 : 2,822.82 = 1,114 : x
  2. Step 2: Convert to fraction form
    2,045.50/2,822.82 = 1,114/x
  3. Step 3: Cross multiply
    2,045.50x = 2,822.82 × 1,114
  4. Step 4: Simplify right side
    2,045.50x = 3,144,621.48
  5. Step 5: Solve for x
    x = 3,144,621.48/2,045.50
  6. Step 6: Final answer
    x = 1,537.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.