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Finding the Fourth Proportional to 2,333.67, 3,501.19 and 690.26

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Solution

The fourth proportional to 2,333.67, 3,501.19 and 690.26 is: 1,035.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.67 : 3,501.19 = 690.26 : x
  2. Step 2: Convert to fraction form
    2,333.67/3,501.19 = 690.26/x
  3. Step 3: Cross multiply
    2,333.67x = 3,501.19 × 690.26
  4. Step 4: Simplify right side
    2,333.67x = 2,416,742.32
  5. Step 5: Solve for x
    x = 2,416,742.32/2,333.67
  6. Step 6: Final answer
    x = 1,035.60

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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.