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Finding the Fourth Proportional to 2,359.94, 3,539.70 and 716.85

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Solution

The fourth proportional to 2,359.94, 3,539.70 and 716.85 is: 1,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.94 : 3,539.70 = 716.85 : x
  2. Step 2: Convert to fraction form
    2,359.94/3,539.70 = 716.85/x
  3. Step 3: Cross multiply
    2,359.94x = 3,539.70 × 716.85
  4. Step 4: Simplify right side
    2,359.94x = 2,537,433.95
  5. Step 5: Solve for x
    x = 2,537,433.95/2,359.94
  6. Step 6: Final answer
    x = 1,075.21

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1.5x scale

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.