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Finding the Fourth Proportional to 3,041.95, 4,562.90 and 961.95

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Solution

The fourth proportional to 3,041.95, 4,562.90 and 961.95 is: 1,442.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.95 : 4,562.90 = 961.95 : x
  2. Step 2: Convert to fraction form
    3,041.95/4,562.90 = 961.95/x
  3. Step 3: Cross multiply
    3,041.95x = 4,562.90 × 961.95
  4. Step 4: Simplify right side
    3,041.95x = 4,389,293.96
  5. Step 5: Solve for x
    x = 4,389,293.96/3,041.95
  6. Step 6: Final answer
    x = 1,442.92

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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.