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Finding the Fourth Proportional to 1,720.10, 2,373.73 and 934.14

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Solution

The fourth proportional to 1,720.10, 2,373.73 and 934.14 is: 1,289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.10 : 2,373.73 = 934.14 : x
  2. Step 2: Convert to fraction form
    1,720.10/2,373.73 = 934.14/x
  3. Step 3: Cross multiply
    1,720.10x = 2,373.73 × 934.14
  4. Step 4: Simplify right side
    1,720.10x = 2,217,396.14
  5. Step 5: Solve for x
    x = 2,217,396.14/1,720.10
  6. Step 6: Final answer
    x = 1,289.11

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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.