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Finding the Fourth Proportional to 2,395.95, 3,591.82 and 934.08

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Solution

The fourth proportional to 2,395.95, 3,591.82 and 934.08 is: 1,400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.95 : 3,591.82 = 934.08 : x
  2. Step 2: Convert to fraction form
    2,395.95/3,591.82 = 934.08/x
  3. Step 3: Cross multiply
    2,395.95x = 3,591.82 × 934.08
  4. Step 4: Simplify right side
    2,395.95x = 3,355,047.23
  5. Step 5: Solve for x
    x = 3,355,047.23/2,395.95
  6. Step 6: Final answer
    x = 1,400.30

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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.