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Finding the Fourth Proportional to 2,316.95, 3,475.15 and 756.95

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Solution

The fourth proportional to 2,316.95, 3,475.15 and 756.95 is: 1,135.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.95 : 3,475.15 = 756.95 : x
  2. Step 2: Convert to fraction form
    2,316.95/3,475.15 = 756.95/x
  3. Step 3: Cross multiply
    2,316.95x = 3,475.15 × 756.95
  4. Step 4: Simplify right side
    2,316.95x = 2,630,499.78
  5. Step 5: Solve for x
    x = 2,630,499.78/2,316.95
  6. Step 6: Final answer
    x = 1,135.33

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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.