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Finding the Fourth Proportional to 2,337.21, 3,504.94 and 776.93

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Solution

The fourth proportional to 2,337.21, 3,504.94 and 776.93 is: 1,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.21 : 3,504.94 = 776.93 : x
  2. Step 2: Convert to fraction form
    2,337.21/3,504.94 = 776.93/x
  3. Step 3: Cross multiply
    2,337.21x = 3,504.94 × 776.93
  4. Step 4: Simplify right side
    2,337.21x = 2,723,090.10
  5. Step 5: Solve for x
    x = 2,723,090.10/2,337.21
  6. Step 6: Final answer
    x = 1,165.10

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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.