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Finding the Fourth Proportional to 2,333.80, 3,500.55 and 690.36

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Solution

The fourth proportional to 2,333.80, 3,500.55 and 690.36 is: 1,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.80 : 3,500.55 = 690.36 : x
  2. Step 2: Convert to fraction form
    2,333.80/3,500.55 = 690.36/x
  3. Step 3: Cross multiply
    2,333.80x = 3,500.55 × 690.36
  4. Step 4: Simplify right side
    2,333.80x = 2,416,639.70
  5. Step 5: Solve for x
    x = 2,416,639.70/2,333.80
  6. Step 6: Final answer
    x = 1,035.50

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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.