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Finding the Fourth Proportional to 1,384.99, 2,078.50 and 1,114.34

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Solution

The fourth proportional to 1,384.99, 2,078.50 and 1,114.34 is: 1,672.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.99 : 2,078.50 = 1,114.34 : x
  2. Step 2: Convert to fraction form
    1,384.99/2,078.50 = 1,114.34/x
  3. Step 3: Cross multiply
    1,384.99x = 2,078.50 × 1,114.34
  4. Step 4: Simplify right side
    1,384.99x = 2,316,170.55
  5. Step 5: Solve for x
    x = 2,316,170.55/1,384.99
  6. Step 6: Final answer
    x = 1,672.34

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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.